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Finding the Third Proportional to 18,411.75 and 38,463.75

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Solution

The third proportional to 18,411.75 and 38,463.75 is: 80,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,411.75 : 38,463.75 = 38,463.75 : x
  2. Step 2: Convert to fraction form
    18,411.75/38,463.75 = 38,463.75/x
  3. Step 3: Cross multiply
    18,411.75x = 38,463.75 × 38,463.75
  4. Step 4: Simplify right side
    18,411.75x = 1,479,460,064.06
  5. Step 5: Solve for x
    x = 1,479,460,064.06/18,411.75
  6. Step 6: Final answer
    x = 80,354.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.