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Finding the Third Proportional to 7,286.63 and 8,380.13

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Solution

The third proportional to 7,286.63 and 8,380.13 is: 9,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.63 : 8,380.13 = 8,380.13 : x
  2. Step 2: Convert to fraction form
    7,286.63/8,380.13 = 8,380.13/x
  3. Step 3: Cross multiply
    7,286.63x = 8,380.13 × 8,380.13
  4. Step 4: Simplify right side
    7,286.63x = 70,226,495.02
  5. Step 5: Solve for x
    x = 70,226,495.02/7,286.63
  6. Step 6: Final answer
    x = 9,637.73

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.