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Finding the Third Proportional to 12,132 and 25,418

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Solution

The third proportional to 12,132 and 25,418 is: 53,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132 : 25,418 = 25,418 : x
  2. Step 2: Convert to fraction form
    12,132/25,418 = 25,418/x
  3. Step 3: Cross multiply
    12,132x = 25,418 × 25,418
  4. Step 4: Simplify right side
    12,132x = 646,074,724
  5. Step 5: Solve for x
    x = 646,074,724/12,132
  6. Step 6: Final answer
    x = 53,253.77

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.