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Finding the Third Proportional to 20,019.66 and 42,508.55

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Solution

The third proportional to 20,019.66 and 42,508.55 is: 90,260.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,019.66 : 42,508.55 = 42,508.55 : x
  2. Step 2: Convert to fraction form
    20,019.66/42,508.55 = 42,508.55/x
  3. Step 3: Cross multiply
    20,019.66x = 42,508.55 × 42,508.55
  4. Step 4: Simplify right side
    20,019.66x = 1,806,976,557.42
  5. Step 5: Solve for x
    x = 1,806,976,557.42/20,019.66
  6. Step 6: Final answer
    x = 90,260.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.