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Finding the Third Proportional to 3,631.50 and 7,956.56

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Solution

The third proportional to 3,631.50 and 7,956.56 is: 17,432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631.50 : 7,956.56 = 7,956.56 : x
  2. Step 2: Convert to fraction form
    3,631.50/7,956.56 = 7,956.56/x
  3. Step 3: Cross multiply
    3,631.50x = 7,956.56 × 7,956.56
  4. Step 4: Simplify right side
    3,631.50x = 63,306,886.82
  5. Step 5: Solve for x
    x = 63,306,886.82/3,631.50
  6. Step 6: Final answer
    x = 17,432.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.