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Finding the Third Proportional to 2,677.75 and 3,929.29

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Solution

The third proportional to 2,677.75 and 3,929.29 is: 5,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.75 : 3,929.29 = 3,929.29 : x
  2. Step 2: Convert to fraction form
    2,677.75/3,929.29 = 3,929.29/x
  3. Step 3: Cross multiply
    2,677.75x = 3,929.29 × 3,929.29
  4. Step 4: Simplify right side
    2,677.75x = 15,439,327.89
  5. Step 5: Solve for x
    x = 15,439,327.89/2,677.75
  6. Step 6: Final answer
    x = 5,765.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.