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Finding the Third Proportional to 26,724 and 39,942

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Solution

The third proportional to 26,724 and 39,942 is: 59,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,724 : 39,942 = 39,942 : x
  2. Step 2: Convert to fraction form
    26,724/39,942 = 39,942/x
  3. Step 3: Cross multiply
    26,724x = 39,942 × 39,942
  4. Step 4: Simplify right side
    26,724x = 1,595,363,364
  5. Step 5: Solve for x
    x = 1,595,363,364/26,724
  6. Step 6: Final answer
    x = 59,697.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.