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Finding the Third Proportional to 24,581.25 and 52,665.75

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Solution

The third proportional to 24,581.25 and 52,665.75 is: 112,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,581.25 : 52,665.75 = 52,665.75 : x
  2. Step 2: Convert to fraction form
    24,581.25/52,665.75 = 52,665.75/x
  3. Step 3: Cross multiply
    24,581.25x = 52,665.75 × 52,665.75
  4. Step 4: Simplify right side
    24,581.25x = 2,773,681,223.06
  5. Step 5: Solve for x
    x = 2,773,681,223.06/24,581.25
  6. Step 6: Final answer
    x = 112,837.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.