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Finding the Third Proportional to 27,758 and 40,902

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Solution

The third proportional to 27,758 and 40,902 is: 60,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758 : 40,902 = 40,902 : x
  2. Step 2: Convert to fraction form
    27,758/40,902 = 40,902/x
  3. Step 3: Cross multiply
    27,758x = 40,902 × 40,902
  4. Step 4: Simplify right side
    27,758x = 1,672,973,604
  5. Step 5: Solve for x
    x = 1,672,973,604/27,758
  6. Step 6: Final answer
    x = 60,269.96

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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.