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Finding the Third Proportional to 32,737 and 71,307

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Solution

The third proportional to 32,737 and 71,307 is: 155,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,737 : 71,307 = 71,307 : x
  2. Step 2: Convert to fraction form
    32,737/71,307 = 71,307/x
  3. Step 3: Cross multiply
    32,737x = 71,307 × 71,307
  4. Step 4: Simplify right side
    32,737x = 5,084,688,249
  5. Step 5: Solve for x
    x = 5,084,688,249/32,737
  6. Step 6: Final answer
    x = 155,319.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.