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Finding the Third Proportional to 18,060 and 38,581.50

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Solution

The third proportional to 18,060 and 38,581.50 is: 82,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,060 : 38,581.50 = 38,581.50 : x
  2. Step 2: Convert to fraction form
    18,060/38,581.50 = 38,581.50/x
  3. Step 3: Cross multiply
    18,060x = 38,581.50 × 38,581.50
  4. Step 4: Simplify right side
    18,060x = 1,488,532,142.25
  5. Step 5: Solve for x
    x = 1,488,532,142.25/18,060
  6. Step 6: Final answer
    x = 82,421.49

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