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Finding the Third Proportional to 25,157 and 39,802

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Solution

The third proportional to 25,157 and 39,802 is: 62,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,157 : 39,802 = 39,802 : x
  2. Step 2: Convert to fraction form
    25,157/39,802 = 39,802/x
  3. Step 3: Cross multiply
    25,157x = 39,802 × 39,802
  4. Step 4: Simplify right side
    25,157x = 1,584,199,204
  5. Step 5: Solve for x
    x = 1,584,199,204/25,157
  6. Step 6: Final answer
    x = 62,972.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.