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Finding the Third Proportional to 22,514 and 48,292

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Solution

The third proportional to 22,514 and 48,292 is: 103,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514 : 48,292 = 48,292 : x
  2. Step 2: Convert to fraction form
    22,514/48,292 = 48,292/x
  3. Step 3: Cross multiply
    22,514x = 48,292 × 48,292
  4. Step 4: Simplify right side
    22,514x = 2,332,117,264
  5. Step 5: Solve for x
    x = 2,332,117,264/22,514
  6. Step 6: Final answer
    x = 103,585.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.