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Finding the Third Proportional to 10,679 and 22,909

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Solution

The third proportional to 10,679 and 22,909 is: 49,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679 : 22,909 = 22,909 : x
  2. Step 2: Convert to fraction form
    10,679/22,909 = 22,909/x
  3. Step 3: Cross multiply
    10,679x = 22,909 × 22,909
  4. Step 4: Simplify right side
    10,679x = 524,822,281
  5. Step 5: Solve for x
    x = 524,822,281/10,679
  6. Step 6: Final answer
    x = 49,145.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.