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Finding the Third Proportional to 3,663.56 and 7,144.03

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Solution

The third proportional to 3,663.56 and 7,144.03 is: 13,931.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.56 : 7,144.03 = 7,144.03 : x
  2. Step 2: Convert to fraction form
    3,663.56/7,144.03 = 7,144.03/x
  3. Step 3: Cross multiply
    3,663.56x = 7,144.03 × 7,144.03
  4. Step 4: Simplify right side
    3,663.56x = 51,037,182.50
  5. Step 5: Solve for x
    x = 51,037,182.50/3,663.56
  6. Step 6: Final answer
    x = 13,931.03

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.