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Finding the Third Proportional to 4,691.44 and 6,598.31

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Solution

The third proportional to 4,691.44 and 6,598.31 is: 9,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.44 : 6,598.31 = 6,598.31 : x
  2. Step 2: Convert to fraction form
    4,691.44/6,598.31 = 6,598.31/x
  3. Step 3: Cross multiply
    4,691.44x = 6,598.31 × 6,598.31
  4. Step 4: Simplify right side
    4,691.44x = 43,537,727.85
  5. Step 5: Solve for x
    x = 43,537,727.85/4,691.44
  6. Step 6: Final answer
    x = 9,280.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.