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Finding the Third Proportional to 19,723 and 42,902

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Solution

The third proportional to 19,723 and 42,902 is: 93,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,723 : 42,902 = 42,902 : x
  2. Step 2: Convert to fraction form
    19,723/42,902 = 42,902/x
  3. Step 3: Cross multiply
    19,723x = 42,902 × 42,902
  4. Step 4: Simplify right side
    19,723x = 1,840,581,604
  5. Step 5: Solve for x
    x = 1,840,581,604/19,723
  6. Step 6: Final answer
    x = 93,321.58

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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.