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Finding the Third Proportional to 20,038 and 43,287

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Solution

The third proportional to 20,038 and 43,287 is: 93,510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038 : 43,287 = 43,287 : x
  2. Step 2: Convert to fraction form
    20,038/43,287 = 43,287/x
  3. Step 3: Cross multiply
    20,038x = 43,287 × 43,287
  4. Step 4: Simplify right side
    20,038x = 1,873,764,369
  5. Step 5: Solve for x
    x = 1,873,764,369/20,038
  6. Step 6: Final answer
    x = 93,510.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.