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Finding the Third Proportional to 25,659 and 37,602

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Solution

The third proportional to 25,659 and 37,602 is: 55,103.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,659 : 37,602 = 37,602 : x
  2. Step 2: Convert to fraction form
    25,659/37,602 = 37,602/x
  3. Step 3: Cross multiply
    25,659x = 37,602 × 37,602
  4. Step 4: Simplify right side
    25,659x = 1,413,910,404
  5. Step 5: Solve for x
    x = 1,413,910,404/25,659
  6. Step 6: Final answer
    x = 55,103.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.