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Finding the Third Proportional to 24,913 and 54,749

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Solution

The third proportional to 24,913 and 54,749 is: 120,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,913 : 54,749 = 54,749 : x
  2. Step 2: Convert to fraction form
    24,913/54,749 = 54,749/x
  3. Step 3: Cross multiply
    24,913x = 54,749 × 54,749
  4. Step 4: Simplify right side
    24,913x = 2,997,453,001
  5. Step 5: Solve for x
    x = 2,997,453,001/24,913
  6. Step 6: Final answer
    x = 120,316.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.