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Finding the Third Proportional to 25,074 and 36,747

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Solution

The third proportional to 25,074 and 36,747 is: 53,854.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,074 : 36,747 = 36,747 : x
  2. Step 2: Convert to fraction form
    25,074/36,747 = 36,747/x
  3. Step 3: Cross multiply
    25,074x = 36,747 × 36,747
  4. Step 4: Simplify right side
    25,074x = 1,350,342,009
  5. Step 5: Solve for x
    x = 1,350,342,009/25,074
  6. Step 6: Final answer
    x = 53,854.27

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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.