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Finding the Third Proportional to 4,098.73 and 5,468.45

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Solution

The third proportional to 4,098.73 and 5,468.45 is: 7,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.73 : 5,468.45 = 5,468.45 : x
  2. Step 2: Convert to fraction form
    4,098.73/5,468.45 = 5,468.45/x
  3. Step 3: Cross multiply
    4,098.73x = 5,468.45 × 5,468.45
  4. Step 4: Simplify right side
    4,098.73x = 29,903,936.86
  5. Step 5: Solve for x
    x = 29,903,936.86/4,098.73
  6. Step 6: Final answer
    x = 7,295.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.