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Finding the Third Proportional to 20,143.13 and 29,490.75

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Solution

The third proportional to 20,143.13 and 29,490.75 is: 43,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.13 : 29,490.75 = 29,490.75 : x
  2. Step 2: Convert to fraction form
    20,143.13/29,490.75 = 29,490.75/x
  3. Step 3: Cross multiply
    20,143.13x = 29,490.75 × 29,490.75
  4. Step 4: Simplify right side
    20,143.13x = 869,704,335.56
  5. Step 5: Solve for x
    x = 869,704,335.56/20,143.13
  6. Step 6: Final answer
    x = 43,176.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.