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Finding the Third Proportional to 2,677.08 and 3,924.28

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Solution

The third proportional to 2,677.08 and 3,924.28 is: 5,752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.08 : 3,924.28 = 3,924.28 : x
  2. Step 2: Convert to fraction form
    2,677.08/3,924.28 = 3,924.28/x
  3. Step 3: Cross multiply
    2,677.08x = 3,924.28 × 3,924.28
  4. Step 4: Simplify right side
    2,677.08x = 15,399,983.33
  5. Step 5: Solve for x
    x = 15,399,983.33/2,677.08
  6. Step 6: Final answer
    x = 5,752.53

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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.