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Finding the Third Proportional to 3,208.78 and 4,966.31

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Solution

The third proportional to 3,208.78 and 4,966.31 is: 7,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.78 : 4,966.31 = 4,966.31 : x
  2. Step 2: Convert to fraction form
    3,208.78/4,966.31 = 4,966.31/x
  3. Step 3: Cross multiply
    3,208.78x = 4,966.31 × 4,966.31
  4. Step 4: Simplify right side
    3,208.78x = 24,664,259.85
  5. Step 5: Solve for x
    x = 24,664,259.85/3,208.78
  6. Step 6: Final answer
    x = 7,686.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.