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Finding the Third Proportional to 19,873 and 42,115.25

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Solution

The third proportional to 19,873 and 42,115.25 is: 89,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,873 : 42,115.25 = 42,115.25 : x
  2. Step 2: Convert to fraction form
    19,873/42,115.25 = 42,115.25/x
  3. Step 3: Cross multiply
    19,873x = 42,115.25 × 42,115.25
  4. Step 4: Simplify right side
    19,873x = 1,773,694,282.56
  5. Step 5: Solve for x
    x = 1,773,694,282.56/19,873
  6. Step 6: Final answer
    x = 89,251.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.