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Finding the Third Proportional to 9,413 and 19,870

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Solution

The third proportional to 9,413 and 19,870 is: 41,943.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413 : 19,870 = 19,870 : x
  2. Step 2: Convert to fraction form
    9,413/19,870 = 19,870/x
  3. Step 3: Cross multiply
    9,413x = 19,870 × 19,870
  4. Step 4: Simplify right side
    9,413x = 394,816,900
  5. Step 5: Solve for x
    x = 394,816,900/9,413
  6. Step 6: Final answer
    x = 41,943.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.