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Finding the Third Proportional to 12,438 and 25,605

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Solution

The third proportional to 12,438 and 25,605 is: 52,710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438 : 25,605 = 25,605 : x
  2. Step 2: Convert to fraction form
    12,438/25,605 = 25,605/x
  3. Step 3: Cross multiply
    12,438x = 25,605 × 25,605
  4. Step 4: Simplify right side
    12,438x = 655,616,025
  5. Step 5: Solve for x
    x = 655,616,025/12,438
  6. Step 6: Final answer
    x = 52,710.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.