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Finding the Third Proportional to 5,674.78 and 8,815.78

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Solution

The third proportional to 5,674.78 and 8,815.78 is: 13,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.78 : 8,815.78 = 8,815.78 : x
  2. Step 2: Convert to fraction form
    5,674.78/8,815.78 = 8,815.78/x
  3. Step 3: Cross multiply
    5,674.78x = 8,815.78 × 8,815.78
  4. Step 4: Simplify right side
    5,674.78x = 77,717,999.05
  5. Step 5: Solve for x
    x = 77,717,999.05/5,674.78
  6. Step 6: Final answer
    x = 13,695.33

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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.