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Finding the Third Proportional to 25,363 and 39,427

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Solution

The third proportional to 25,363 and 39,427 is: 61,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,363 : 39,427 = 39,427 : x
  2. Step 2: Convert to fraction form
    25,363/39,427 = 39,427/x
  3. Step 3: Cross multiply
    25,363x = 39,427 × 39,427
  4. Step 4: Simplify right side
    25,363x = 1,554,488,329
  5. Step 5: Solve for x
    x = 1,554,488,329/25,363
  6. Step 6: Final answer
    x = 61,289.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.