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Finding the Third Proportional to 10,806 and 22,905

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Solution

The third proportional to 10,806 and 22,905 is: 48,550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806 : 22,905 = 22,905 : x
  2. Step 2: Convert to fraction form
    10,806/22,905 = 22,905/x
  3. Step 3: Cross multiply
    10,806x = 22,905 × 22,905
  4. Step 4: Simplify right side
    10,806x = 524,639,025
  5. Step 5: Solve for x
    x = 524,639,025/10,806
  6. Step 6: Final answer
    x = 48,550.71

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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.