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Finding the Third Proportional to 5,752.27 and 13,899.41

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Solution

The third proportional to 5,752.27 and 13,899.41 is: 33,585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.27 : 13,899.41 = 13,899.41 : x
  2. Step 2: Convert to fraction form
    5,752.27/13,899.41 = 13,899.41/x
  3. Step 3: Cross multiply
    5,752.27x = 13,899.41 × 13,899.41
  4. Step 4: Simplify right side
    5,752.27x = 193,193,602.69
  5. Step 5: Solve for x
    x = 193,193,602.69/5,752.27
  6. Step 6: Final answer
    x = 33,585.65

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.