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Finding the Third Proportional to 10,649 and 22,653

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Solution

The third proportional to 10,649 and 22,653 is: 48,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649 : 22,653 = 22,653 : x
  2. Step 2: Convert to fraction form
    10,649/22,653 = 22,653/x
  3. Step 3: Cross multiply
    10,649x = 22,653 × 22,653
  4. Step 4: Simplify right side
    10,649x = 513,158,409
  5. Step 5: Solve for x
    x = 513,158,409/10,649
  6. Step 6: Final answer
    x = 48,188.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.