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Finding the Third Proportional to 11,539 and 24,292

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Solution

The third proportional to 11,539 and 24,292 is: 51,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539 : 24,292 = 24,292 : x
  2. Step 2: Convert to fraction form
    11,539/24,292 = 24,292/x
  3. Step 3: Cross multiply
    11,539x = 24,292 × 24,292
  4. Step 4: Simplify right side
    11,539x = 590,101,264
  5. Step 5: Solve for x
    x = 590,101,264/11,539
  6. Step 6: Final answer
    x = 51,139.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.