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Finding the Third Proportional to 11,182 and 24,560

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Solution

The third proportional to 11,182 and 24,560 is: 53,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182 : 24,560 = 24,560 : x
  2. Step 2: Convert to fraction form
    11,182/24,560 = 24,560/x
  3. Step 3: Cross multiply
    11,182x = 24,560 × 24,560
  4. Step 4: Simplify right side
    11,182x = 603,193,600
  5. Step 5: Solve for x
    x = 603,193,600/11,182
  6. Step 6: Final answer
    x = 53,943.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.