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Finding the Third Proportional to 6,732.09 and 10,280.44

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Solution

The third proportional to 6,732.09 and 10,280.44 is: 15,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.09 : 10,280.44 = 10,280.44 : x
  2. Step 2: Convert to fraction form
    6,732.09/10,280.44 = 10,280.44/x
  3. Step 3: Cross multiply
    6,732.09x = 10,280.44 × 10,280.44
  4. Step 4: Simplify right side
    6,732.09x = 105,687,395.19
  5. Step 5: Solve for x
    x = 105,687,395.19/6,732.09
  6. Step 6: Final answer
    x = 15,699.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.