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Finding the Third Proportional to 10,866 and 22,306

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Solution

The third proportional to 10,866 and 22,306 is: 45,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866 : 22,306 = 22,306 : x
  2. Step 2: Convert to fraction form
    10,866/22,306 = 22,306/x
  3. Step 3: Cross multiply
    10,866x = 22,306 × 22,306
  4. Step 4: Simplify right side
    10,866x = 497,557,636
  5. Step 5: Solve for x
    x = 497,557,636/10,866
  6. Step 6: Final answer
    x = 45,790.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.