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Finding the Third Proportional to 24,581.25 and 53,333.25

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Solution

The third proportional to 24,581.25 and 53,333.25 is: 115,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,581.25 : 53,333.25 = 53,333.25 : x
  2. Step 2: Convert to fraction form
    24,581.25/53,333.25 = 53,333.25/x
  3. Step 3: Cross multiply
    24,581.25x = 53,333.25 × 53,333.25
  4. Step 4: Simplify right side
    24,581.25x = 2,844,435,555.56
  5. Step 5: Solve for x
    x = 2,844,435,555.56/24,581.25
  6. Step 6: Final answer
    x = 115,715.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.