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Finding the Third Proportional to 22,897 and 48,294

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Solution

The third proportional to 22,897 and 48,294 is: 101,860.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897 : 48,294 = 48,294 : x
  2. Step 2: Convert to fraction form
    22,897/48,294 = 48,294/x
  3. Step 3: Cross multiply
    22,897x = 48,294 × 48,294
  4. Step 4: Simplify right side
    22,897x = 2,332,310,436
  5. Step 5: Solve for x
    x = 2,332,310,436/22,897
  6. Step 6: Final answer
    x = 101,860.96

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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.