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Finding the Third Proportional to 24,221.25 and 52,152.75

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Solution

The third proportional to 24,221.25 and 52,152.75 is: 112,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,221.25 : 52,152.75 = 52,152.75 : x
  2. Step 2: Convert to fraction form
    24,221.25/52,152.75 = 52,152.75/x
  3. Step 3: Cross multiply
    24,221.25x = 52,152.75 × 52,152.75
  4. Step 4: Simplify right side
    24,221.25x = 2,719,909,332.56
  5. Step 5: Solve for x
    x = 2,719,909,332.56/24,221.25
  6. Step 6: Final answer
    x = 112,294.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.