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Finding the Third Proportional to 18,085.46 and 39,189.45

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Solution

The third proportional to 18,085.46 and 39,189.45 is: 84,919.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,085.46 : 39,189.45 = 39,189.45 : x
  2. Step 2: Convert to fraction form
    18,085.46/39,189.45 = 39,189.45/x
  3. Step 3: Cross multiply
    18,085.46x = 39,189.45 × 39,189.45
  4. Step 4: Simplify right side
    18,085.46x = 1,535,812,623.90
  5. Step 5: Solve for x
    x = 1,535,812,623.90/18,085.46
  6. Step 6: Final answer
    x = 84,919.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.