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Finding the Third Proportional to 32,918 and 72,087

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Solution

The third proportional to 32,918 and 72,087 is: 157,863.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,918 : 72,087 = 72,087 : x
  2. Step 2: Convert to fraction form
    32,918/72,087 = 72,087/x
  3. Step 3: Cross multiply
    32,918x = 72,087 × 72,087
  4. Step 4: Simplify right side
    32,918x = 5,196,535,569
  5. Step 5: Solve for x
    x = 5,196,535,569/32,918
  6. Step 6: Final answer
    x = 157,863.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.