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Finding the Third Proportional to 37,654 and 81,507

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Solution

The third proportional to 37,654 and 81,507 is: 176,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,654 : 81,507 = 81,507 : x
  2. Step 2: Convert to fraction form
    37,654/81,507 = 81,507/x
  3. Step 3: Cross multiply
    37,654x = 81,507 × 81,507
  4. Step 4: Simplify right side
    37,654x = 6,643,391,049
  5. Step 5: Solve for x
    x = 6,643,391,049/37,654
  6. Step 6: Final answer
    x = 176,432.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.