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Finding the Third Proportional to 20,135 and 42,870

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Solution

The third proportional to 20,135 and 42,870 is: 91,275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135 : 42,870 = 42,870 : x
  2. Step 2: Convert to fraction form
    20,135/42,870 = 42,870/x
  3. Step 3: Cross multiply
    20,135x = 42,870 × 42,870
  4. Step 4: Simplify right side
    20,135x = 1,837,836,900
  5. Step 5: Solve for x
    x = 1,837,836,900/20,135
  6. Step 6: Final answer
    x = 91,275.73

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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.