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Finding the Third Proportional to 24,567 and 57,747.75

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Solution

The third proportional to 24,567 and 57,747.75 is: 135,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,567 : 57,747.75 = 57,747.75 : x
  2. Step 2: Convert to fraction form
    24,567/57,747.75 = 57,747.75/x
  3. Step 3: Cross multiply
    24,567x = 57,747.75 × 57,747.75
  4. Step 4: Simplify right side
    24,567x = 3,334,802,630.06
  5. Step 5: Solve for x
    x = 3,334,802,630.06/24,567
  6. Step 6: Final answer
    x = 135,743.18

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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.