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Finding the Third Proportional to 12,427 and 26,629

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Solution

The third proportional to 12,427 and 26,629 is: 57,061.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427 : 26,629 = 26,629 : x
  2. Step 2: Convert to fraction form
    12,427/26,629 = 26,629/x
  3. Step 3: Cross multiply
    12,427x = 26,629 × 26,629
  4. Step 4: Simplify right side
    12,427x = 709,103,641
  5. Step 5: Solve for x
    x = 709,103,641/12,427
  6. Step 6: Final answer
    x = 57,061.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.