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Finding the Third Proportional to 20,429 and 42,919

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Solution

The third proportional to 20,429 and 42,919 is: 90,167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,429 : 42,919 = 42,919 : x
  2. Step 2: Convert to fraction form
    20,429/42,919 = 42,919/x
  3. Step 3: Cross multiply
    20,429x = 42,919 × 42,919
  4. Step 4: Simplify right side
    20,429x = 1,842,040,561
  5. Step 5: Solve for x
    x = 1,842,040,561/20,429
  6. Step 6: Final answer
    x = 90,167.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.