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Finding the Third Proportional to 11,141.72 and 23,217.47

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Solution

The third proportional to 11,141.72 and 23,217.47 is: 48,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.72 : 23,217.47 = 23,217.47 : x
  2. Step 2: Convert to fraction form
    11,141.72/23,217.47 = 23,217.47/x
  3. Step 3: Cross multiply
    11,141.72x = 23,217.47 × 23,217.47
  4. Step 4: Simplify right side
    11,141.72x = 539,050,855.16
  5. Step 5: Solve for x
    x = 539,050,855.16/11,141.72
  6. Step 6: Final answer
    x = 48,381.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.