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Finding the Third Proportional to 12,538 and 27,428

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Solution

The third proportional to 12,538 and 27,428 is: 60,001.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538 : 27,428 = 27,428 : x
  2. Step 2: Convert to fraction form
    12,538/27,428 = 27,428/x
  3. Step 3: Cross multiply
    12,538x = 27,428 × 27,428
  4. Step 4: Simplify right side
    12,538x = 752,295,184
  5. Step 5: Solve for x
    x = 752,295,184/12,538
  6. Step 6: Final answer
    x = 60,001.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.