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Finding the Third Proportional to 3,706.17 and 5,771.88

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Solution

The third proportional to 3,706.17 and 5,771.88 is: 8,988.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.17 : 5,771.88 = 5,771.88 : x
  2. Step 2: Convert to fraction form
    3,706.17/5,771.88 = 5,771.88/x
  3. Step 3: Cross multiply
    3,706.17x = 5,771.88 × 5,771.88
  4. Step 4: Simplify right side
    3,706.17x = 33,314,631.20
  5. Step 5: Solve for x
    x = 33,314,631.20/3,706.17
  6. Step 6: Final answer
    x = 8,988.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.