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Finding the Third Proportional to 10,649 and 24,873

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Solution

The third proportional to 10,649 and 24,873 is: 58,096.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649 : 24,873 = 24,873 : x
  2. Step 2: Convert to fraction form
    10,649/24,873 = 24,873/x
  3. Step 3: Cross multiply
    10,649x = 24,873 × 24,873
  4. Step 4: Simplify right side
    10,649x = 618,666,129
  5. Step 5: Solve for x
    x = 618,666,129/10,649
  6. Step 6: Final answer
    x = 58,096.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.