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Finding the Third Proportional to 3,715.13 and 5,771.06

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Solution

The third proportional to 3,715.13 and 5,771.06 is: 8,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.13 : 5,771.06 = 5,771.06 : x
  2. Step 2: Convert to fraction form
    3,715.13/5,771.06 = 5,771.06/x
  3. Step 3: Cross multiply
    3,715.13x = 5,771.06 × 5,771.06
  4. Step 4: Simplify right side
    3,715.13x = 33,305,162.38
  5. Step 5: Solve for x
    x = 33,305,162.38/3,715.13
  6. Step 6: Final answer
    x = 8,964.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.