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Finding the Third Proportional to 25,427 and 38,468

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Solution

The third proportional to 25,427 and 38,468 is: 58,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,427 : 38,468 = 38,468 : x
  2. Step 2: Convert to fraction form
    25,427/38,468 = 38,468/x
  3. Step 3: Cross multiply
    25,427x = 38,468 × 38,468
  4. Step 4: Simplify right side
    25,427x = 1,479,787,024
  5. Step 5: Solve for x
    x = 1,479,787,024/25,427
  6. Step 6: Final answer
    x = 58,197.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.