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Finding the Third Proportional to 20,191.78 and 29,683.97

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Solution

The third proportional to 20,191.78 and 29,683.97 is: 43,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,191.78 : 29,683.97 = 29,683.97 : x
  2. Step 2: Convert to fraction form
    20,191.78/29,683.97 = 29,683.97/x
  3. Step 3: Cross multiply
    20,191.78x = 29,683.97 × 29,683.97
  4. Step 4: Simplify right side
    20,191.78x = 881,138,000.75
  5. Step 5: Solve for x
    x = 881,138,000.75/20,191.78
  6. Step 6: Final answer
    x = 43,638.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.