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Finding the Third Proportional to 11,449 and 24,541

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Solution

The third proportional to 11,449 and 24,541 is: 52,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449 : 24,541 = 24,541 : x
  2. Step 2: Convert to fraction form
    11,449/24,541 = 24,541/x
  3. Step 3: Cross multiply
    11,449x = 24,541 × 24,541
  4. Step 4: Simplify right side
    11,449x = 602,260,681
  5. Step 5: Solve for x
    x = 602,260,681/11,449
  6. Step 6: Final answer
    x = 52,603.78

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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.