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Finding the Third Proportional to 11,502 and 24,418

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Solution

The third proportional to 11,502 and 24,418 is: 51,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502 : 24,418 = 24,418 : x
  2. Step 2: Convert to fraction form
    11,502/24,418 = 24,418/x
  3. Step 3: Cross multiply
    11,502x = 24,418 × 24,418
  4. Step 4: Simplify right side
    11,502x = 596,238,724
  5. Step 5: Solve for x
    x = 596,238,724/11,502
  6. Step 6: Final answer
    x = 51,837.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.