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Finding the Third Proportional to 3,455.16 and 4,867.59

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Solution

The third proportional to 3,455.16 and 4,867.59 is: 6,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.16 : 4,867.59 = 4,867.59 : x
  2. Step 2: Convert to fraction form
    3,455.16/4,867.59 = 4,867.59/x
  3. Step 3: Cross multiply
    3,455.16x = 4,867.59 × 4,867.59
  4. Step 4: Simplify right side
    3,455.16x = 23,693,468.92
  5. Step 5: Solve for x
    x = 23,693,468.92/3,455.16
  6. Step 6: Final answer
    x = 6,857.42

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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.