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Finding the Third Proportional to 20,047.50 and 29,759.91

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Solution

The third proportional to 20,047.50 and 29,759.91 is: 44,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.50 : 29,759.91 = 29,759.91 : x
  2. Step 2: Convert to fraction form
    20,047.50/29,759.91 = 29,759.91/x
  3. Step 3: Cross multiply
    20,047.50x = 29,759.91 × 29,759.91
  4. Step 4: Simplify right side
    20,047.50x = 885,652,020.01
  5. Step 5: Solve for x
    x = 885,652,020.01/20,047.50
  6. Step 6: Final answer
    x = 44,177.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.