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Finding the Third Proportional to 10,577.25 and 22,749

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Solution

The third proportional to 10,577.25 and 22,749 is: 48,927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.25 : 22,749 = 22,749 : x
  2. Step 2: Convert to fraction form
    10,577.25/22,749 = 22,749/x
  3. Step 3: Cross multiply
    10,577.25x = 22,749 × 22,749
  4. Step 4: Simplify right side
    10,577.25x = 517,517,001
  5. Step 5: Solve for x
    x = 517,517,001/10,577.25
  6. Step 6: Final answer
    x = 48,927.37

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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.