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Finding the Third Proportional to 20,113 and 42,897

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Solution

The third proportional to 20,113 and 42,897 is: 91,490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,113 : 42,897 = 42,897 : x
  2. Step 2: Convert to fraction form
    20,113/42,897 = 42,897/x
  3. Step 3: Cross multiply
    20,113x = 42,897 × 42,897
  4. Step 4: Simplify right side
    20,113x = 1,840,152,609
  5. Step 5: Solve for x
    x = 1,840,152,609/20,113
  6. Step 6: Final answer
    x = 91,490.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.