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Finding the Third Proportional to 20,125.50 and 43,708.13

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Solution

The third proportional to 20,125.50 and 43,708.13 is: 94,924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,125.50 : 43,708.13 = 43,708.13 : x
  2. Step 2: Convert to fraction form
    20,125.50/43,708.13 = 43,708.13/x
  3. Step 3: Cross multiply
    20,125.50x = 43,708.13 × 43,708.13
  4. Step 4: Simplify right side
    20,125.50x = 1,910,400,191.02
  5. Step 5: Solve for x
    x = 1,910,400,191.02/20,125.50
  6. Step 6: Final answer
    x = 94,924.36

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Why These Related Problems?

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