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Finding the Third Proportional to 26,342 and 40,677

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Solution

The third proportional to 26,342 and 40,677 is: 62,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,342 : 40,677 = 40,677 : x
  2. Step 2: Convert to fraction form
    26,342/40,677 = 40,677/x
  3. Step 3: Cross multiply
    26,342x = 40,677 × 40,677
  4. Step 4: Simplify right side
    26,342x = 1,654,618,329
  5. Step 5: Solve for x
    x = 1,654,618,329/26,342
  6. Step 6: Final answer
    x = 62,812.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.