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Finding the Third Proportional to 3,717.56 and 7,495.88

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Solution

The third proportional to 3,717.56 and 7,495.88 is: 15,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.56 : 7,495.88 = 7,495.88 : x
  2. Step 2: Convert to fraction form
    3,717.56/7,495.88 = 7,495.88/x
  3. Step 3: Cross multiply
    3,717.56x = 7,495.88 × 7,495.88
  4. Step 4: Simplify right side
    3,717.56x = 56,188,142.02
  5. Step 5: Solve for x
    x = 56,188,142.02/3,717.56
  6. Step 6: Final answer
    x = 15,114.24

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.