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Finding the Third Proportional to 11,498 and 24,524

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Solution

The third proportional to 11,498 and 24,524 is: 52,307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498 : 24,524 = 24,524 : x
  2. Step 2: Convert to fraction form
    11,498/24,524 = 24,524/x
  3. Step 3: Cross multiply
    11,498x = 24,524 × 24,524
  4. Step 4: Simplify right side
    11,498x = 601,426,576
  5. Step 5: Solve for x
    x = 601,426,576/11,498
  6. Step 6: Final answer
    x = 52,307.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.