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Finding the Third Proportional to 22,514.25 and 52,116.75

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Solution

The third proportional to 22,514.25 and 52,116.75 is: 120,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.25 : 52,116.75 = 52,116.75 : x
  2. Step 2: Convert to fraction form
    22,514.25/52,116.75 = 52,116.75/x
  3. Step 3: Cross multiply
    22,514.25x = 52,116.75 × 52,116.75
  4. Step 4: Simplify right side
    22,514.25x = 2,716,155,630.56
  5. Step 5: Solve for x
    x = 2,716,155,630.56/22,514.25
  6. Step 6: Final answer
    x = 120,641.62

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.