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Finding the Third Proportional to 5,454.56 and 8,650.69

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Solution

The third proportional to 5,454.56 and 8,650.69 is: 13,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.56 : 8,650.69 = 8,650.69 : x
  2. Step 2: Convert to fraction form
    5,454.56/8,650.69 = 8,650.69/x
  3. Step 3: Cross multiply
    5,454.56x = 8,650.69 × 8,650.69
  4. Step 4: Simplify right side
    5,454.56x = 74,834,394.22
  5. Step 5: Solve for x
    x = 74,834,394.22/5,454.56
  6. Step 6: Final answer
    x = 13,719.60

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.