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Finding the Third Proportional to 20,140.31 and 43,971.19

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Solution

The third proportional to 20,140.31 and 43,971.19 is: 95,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.31 : 43,971.19 = 43,971.19 : x
  2. Step 2: Convert to fraction form
    20,140.31/43,971.19 = 43,971.19/x
  3. Step 3: Cross multiply
    20,140.31x = 43,971.19 × 43,971.19
  4. Step 4: Simplify right side
    20,140.31x = 1,933,465,330.16
  5. Step 5: Solve for x
    x = 1,933,465,330.16/20,140.31
  6. Step 6: Final answer
    x = 95,999.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.