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Finding the Third Proportional to 2,718.56 and 3,816.28

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Solution

The third proportional to 2,718.56 and 3,816.28 is: 5,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.56 : 3,816.28 = 3,816.28 : x
  2. Step 2: Convert to fraction form
    2,718.56/3,816.28 = 3,816.28/x
  3. Step 3: Cross multiply
    2,718.56x = 3,816.28 × 3,816.28
  4. Step 4: Simplify right side
    2,718.56x = 14,564,002.58
  5. Step 5: Solve for x
    x = 14,564,002.58/2,718.56
  6. Step 6: Final answer
    x = 5,357.24

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.