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Finding the Third Proportional to 25,735 and 38,665

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Solution

The third proportional to 25,735 and 38,665 is: 58,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,735 : 38,665 = 38,665 : x
  2. Step 2: Convert to fraction form
    25,735/38,665 = 38,665/x
  3. Step 3: Cross multiply
    25,735x = 38,665 × 38,665
  4. Step 4: Simplify right side
    25,735x = 1,494,982,225
  5. Step 5: Solve for x
    x = 1,494,982,225/25,735
  6. Step 6: Final answer
    x = 58,091.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.