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Finding the Third Proportional to 10,413 and 22,674

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Solution

The third proportional to 10,413 and 22,674 is: 49,371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413 : 22,674 = 22,674 : x
  2. Step 2: Convert to fraction form
    10,413/22,674 = 22,674/x
  3. Step 3: Cross multiply
    10,413x = 22,674 × 22,674
  4. Step 4: Simplify right side
    10,413x = 514,110,276
  5. Step 5: Solve for x
    x = 514,110,276/10,413
  6. Step 6: Final answer
    x = 49,371.97

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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.