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Finding the Third Proportional to 12,582 and 26,199

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Solution

The third proportional to 12,582 and 26,199 is: 54,553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582 : 26,199 = 26,199 : x
  2. Step 2: Convert to fraction form
    12,582/26,199 = 26,199/x
  3. Step 3: Cross multiply
    12,582x = 26,199 × 26,199
  4. Step 4: Simplify right side
    12,582x = 686,387,601
  5. Step 5: Solve for x
    x = 686,387,601/12,582
  6. Step 6: Final answer
    x = 54,553.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.