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Finding the Third Proportional to 5,616.19 and 8,697.94

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Solution

The third proportional to 5,616.19 and 8,697.94 is: 13,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.19 : 8,697.94 = 8,697.94 : x
  2. Step 2: Convert to fraction form
    5,616.19/8,697.94 = 8,697.94/x
  3. Step 3: Cross multiply
    5,616.19x = 8,697.94 × 8,697.94
  4. Step 4: Simplify right side
    5,616.19x = 75,654,116.75
  5. Step 5: Solve for x
    x = 75,654,116.75/5,616.19
  6. Step 6: Final answer
    x = 13,470.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.