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Finding the Third Proportional to 3,864.98 and 8,276.58

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Solution

The third proportional to 3,864.98 and 8,276.58 is: 17,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.98 : 8,276.58 = 8,276.58 : x
  2. Step 2: Convert to fraction form
    3,864.98/8,276.58 = 8,276.58/x
  3. Step 3: Cross multiply
    3,864.98x = 8,276.58 × 8,276.58
  4. Step 4: Simplify right side
    3,864.98x = 68,501,745.46
  5. Step 5: Solve for x
    x = 68,501,745.46/3,864.98
  6. Step 6: Final answer
    x = 17,723.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.