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Finding the Third Proportional to 5,700.38 and 8,020.13

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Solution

The third proportional to 5,700.38 and 8,020.13 is: 11,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.38 : 8,020.13 = 8,020.13 : x
  2. Step 2: Convert to fraction form
    5,700.38/8,020.13 = 8,020.13/x
  3. Step 3: Cross multiply
    5,700.38x = 8,020.13 × 8,020.13
  4. Step 4: Simplify right side
    5,700.38x = 64,322,405.02
  5. Step 5: Solve for x
    x = 64,322,405.02/5,700.38
  6. Step 6: Final answer
    x = 11,283.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.