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Finding the Third Proportional to 25,654 and 40,102

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Solution

The third proportional to 25,654 and 40,102 is: 62,686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,654 : 40,102 = 40,102 : x
  2. Step 2: Convert to fraction form
    25,654/40,102 = 40,102/x
  3. Step 3: Cross multiply
    25,654x = 40,102 × 40,102
  4. Step 4: Simplify right side
    25,654x = 1,608,170,404
  5. Step 5: Solve for x
    x = 1,608,170,404/25,654
  6. Step 6: Final answer
    x = 62,686.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.