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Finding the Third Proportional to 36,856.13 and 76,628.25

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Solution

The third proportional to 36,856.13 and 76,628.25 is: 159,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,856.13 : 76,628.25 = 76,628.25 : x
  2. Step 2: Convert to fraction form
    36,856.13/76,628.25 = 76,628.25/x
  3. Step 3: Cross multiply
    36,856.13x = 76,628.25 × 76,628.25
  4. Step 4: Simplify right side
    36,856.13x = 5,871,888,698.06
  5. Step 5: Solve for x
    x = 5,871,888,698.06/36,856.13
  6. Step 6: Final answer
    x = 159,319.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.