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Finding the Third Proportional to 19,318.50 and 41,082.19

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Solution

The third proportional to 19,318.50 and 41,082.19 is: 87,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,318.50 : 41,082.19 = 41,082.19 : x
  2. Step 2: Convert to fraction form
    19,318.50/41,082.19 = 41,082.19/x
  3. Step 3: Cross multiply
    19,318.50x = 41,082.19 × 41,082.19
  4. Step 4: Simplify right side
    19,318.50x = 1,687,746,129.79
  5. Step 5: Solve for x
    x = 1,687,746,129.79/19,318.50
  6. Step 6: Final answer
    x = 87,364.24

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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.