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Finding the Third Proportional to 36,460.13 and 75,451.50

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Solution

The third proportional to 36,460.13 and 75,451.50 is: 156,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,460.13 : 75,451.50 = 75,451.50 : x
  2. Step 2: Convert to fraction form
    36,460.13/75,451.50 = 75,451.50/x
  3. Step 3: Cross multiply
    36,460.13x = 75,451.50 × 75,451.50
  4. Step 4: Simplify right side
    36,460.13x = 5,692,928,852.25
  5. Step 5: Solve for x
    x = 5,692,928,852.25/36,460.13
  6. Step 6: Final answer
    x = 156,141.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.