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Finding the Third Proportional to 4,658.77 and 6,640.73

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Solution

The third proportional to 4,658.77 and 6,640.73 is: 9,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.77 : 6,640.73 = 6,640.73 : x
  2. Step 2: Convert to fraction form
    4,658.77/6,640.73 = 6,640.73/x
  3. Step 3: Cross multiply
    4,658.77x = 6,640.73 × 6,640.73
  4. Step 4: Simplify right side
    4,658.77x = 44,099,353.04
  5. Step 5: Solve for x
    x = 44,099,353.04/4,658.77
  6. Step 6: Final answer
    x = 9,465.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.