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Finding the Third Proportional to 5,429.53 and 8,072.16

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Solution

The third proportional to 5,429.53 and 8,072.16 is: 12,000.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.53 : 8,072.16 = 8,072.16 : x
  2. Step 2: Convert to fraction form
    5,429.53/8,072.16 = 8,072.16/x
  3. Step 3: Cross multiply
    5,429.53x = 8,072.16 × 8,072.16
  4. Step 4: Simplify right side
    5,429.53x = 65,159,706.52
  5. Step 5: Solve for x
    x = 65,159,706.52/5,429.53
  6. Step 6: Final answer
    x = 12,000.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.