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Finding the Third Proportional to 5,424.79 and 8,397.74

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Solution

The third proportional to 5,424.79 and 8,397.74 is: 12,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.79 : 8,397.74 = 8,397.74 : x
  2. Step 2: Convert to fraction form
    5,424.79/8,397.74 = 8,397.74/x
  3. Step 3: Cross multiply
    5,424.79x = 8,397.74 × 8,397.74
  4. Step 4: Simplify right side
    5,424.79x = 70,522,008.24
  5. Step 5: Solve for x
    x = 70,522,008.24/5,424.79
  6. Step 6: Final answer
    x = 12,999.96

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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.