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Finding the Third Proportional to 18,206.96 and 38,943.76

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Solution

The third proportional to 18,206.96 and 38,943.76 is: 83,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.96 : 38,943.76 = 38,943.76 : x
  2. Step 2: Convert to fraction form
    18,206.96/38,943.76 = 38,943.76/x
  3. Step 3: Cross multiply
    18,206.96x = 38,943.76 × 38,943.76
  4. Step 4: Simplify right side
    18,206.96x = 1,516,616,120.43
  5. Step 5: Solve for x
    x = 1,516,616,120.43/18,206.96
  6. Step 6: Final answer
    x = 83,298.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.