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Finding the Third Proportional to 7,631.72 and 12,275.30

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Solution

The third proportional to 7,631.72 and 12,275.30 is: 19,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631.72 : 12,275.30 = 12,275.30 : x
  2. Step 2: Convert to fraction form
    7,631.72/12,275.30 = 12,275.30/x
  3. Step 3: Cross multiply
    7,631.72x = 12,275.30 × 12,275.30
  4. Step 4: Simplify right side
    7,631.72x = 150,682,913.37
  5. Step 5: Solve for x
    x = 150,682,913.37/7,631.72
  6. Step 6: Final answer
    x = 19,744.30

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.