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Finding the Third Proportional to 36,267.75 and 68,708.25

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Solution

The third proportional to 36,267.75 and 68,708.25 is: 130,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,267.75 : 68,708.25 = 68,708.25 : x
  2. Step 2: Convert to fraction form
    36,267.75/68,708.25 = 68,708.25/x
  3. Step 3: Cross multiply
    36,267.75x = 68,708.25 × 68,708.25
  4. Step 4: Simplify right side
    36,267.75x = 4,720,823,618.06
  5. Step 5: Solve for x
    x = 4,720,823,618.06/36,267.75
  6. Step 6: Final answer
    x = 130,165.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.