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Finding the Third Proportional to 2,167.88 and 5,352.75

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Solution

The third proportional to 2,167.88 and 5,352.75 is: 13,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.88 : 5,352.75 = 5,352.75 : x
  2. Step 2: Convert to fraction form
    2,167.88/5,352.75 = 5,352.75/x
  3. Step 3: Cross multiply
    2,167.88x = 5,352.75 × 5,352.75
  4. Step 4: Simplify right side
    2,167.88x = 28,651,932.56
  5. Step 5: Solve for x
    x = 28,651,932.56/2,167.88
  6. Step 6: Final answer
    x = 13,216.60

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These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.