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Finding the Third Proportional to 22,468 and 48,217

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Solution

The third proportional to 22,468 and 48,217 is: 103,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468 : 48,217 = 48,217 : x
  2. Step 2: Convert to fraction form
    22,468/48,217 = 48,217/x
  3. Step 3: Cross multiply
    22,468x = 48,217 × 48,217
  4. Step 4: Simplify right side
    22,468x = 2,324,879,089
  5. Step 5: Solve for x
    x = 2,324,879,089/22,468
  6. Step 6: Final answer
    x = 103,475.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.