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Finding the Third Proportional to 32,795 and 71,431

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Solution

The third proportional to 32,795 and 71,431 is: 155,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,795 : 71,431 = 71,431 : x
  2. Step 2: Convert to fraction form
    32,795/71,431 = 71,431/x
  3. Step 3: Cross multiply
    32,795x = 71,431 × 71,431
  4. Step 4: Simplify right side
    32,795x = 5,102,387,761
  5. Step 5: Solve for x
    x = 5,102,387,761/32,795
  6. Step 6: Final answer
    x = 155,584.32

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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.