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Finding the Third Proportional to 24,608 and 57,772

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Solution

The third proportional to 24,608 and 57,772 is: 135,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,608 : 57,772 = 57,772 : x
  2. Step 2: Convert to fraction form
    24,608/57,772 = 57,772/x
  3. Step 3: Cross multiply
    24,608x = 57,772 × 57,772
  4. Step 4: Simplify right side
    24,608x = 3,337,603,984
  5. Step 5: Solve for x
    x = 3,337,603,984/24,608
  6. Step 6: Final answer
    x = 135,630.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.