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Finding the Third Proportional to 11,505 and 24,649

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Solution

The third proportional to 11,505 and 24,649 is: 52,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505 : 24,649 = 24,649 : x
  2. Step 2: Convert to fraction form
    11,505/24,649 = 24,649/x
  3. Step 3: Cross multiply
    11,505x = 24,649 × 24,649
  4. Step 4: Simplify right side
    11,505x = 607,573,201
  5. Step 5: Solve for x
    x = 607,573,201/11,505
  6. Step 6: Final answer
    x = 52,809.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.