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Finding the Third Proportional to 19,814 and 42,298

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Solution

The third proportional to 19,814 and 42,298 is: 90,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814 : 42,298 = 42,298 : x
  2. Step 2: Convert to fraction form
    19,814/42,298 = 42,298/x
  3. Step 3: Cross multiply
    19,814x = 42,298 × 42,298
  4. Step 4: Simplify right side
    19,814x = 1,789,120,804
  5. Step 5: Solve for x
    x = 1,789,120,804/19,814
  6. Step 6: Final answer
    x = 90,295.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.