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Finding the Third Proportional to 7,730.44 and 8,697.38

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Solution

The third proportional to 7,730.44 and 8,697.38 is: 9,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.44 : 8,697.38 = 8,697.38 : x
  2. Step 2: Convert to fraction form
    7,730.44/8,697.38 = 8,697.38/x
  3. Step 3: Cross multiply
    7,730.44x = 8,697.38 × 8,697.38
  4. Step 4: Simplify right side
    7,730.44x = 75,644,331.89
  5. Step 5: Solve for x
    x = 75,644,331.89/7,730.44
  6. Step 6: Final answer
    x = 9,785.26

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.