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Finding the Third Proportional to 6,732.38 and 10,588.69

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Solution

The third proportional to 6,732.38 and 10,588.69 is: 16,653.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.38 : 10,588.69 = 10,588.69 : x
  2. Step 2: Convert to fraction form
    6,732.38/10,588.69 = 10,588.69/x
  3. Step 3: Cross multiply
    6,732.38x = 10,588.69 × 10,588.69
  4. Step 4: Simplify right side
    6,732.38x = 112,120,302.97
  5. Step 5: Solve for x
    x = 112,120,302.97/6,732.38
  6. Step 6: Final answer
    x = 16,653.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.