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Finding the Third Proportional to 2,356.31 and 3,527.44

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Solution

The third proportional to 2,356.31 and 3,527.44 is: 5,280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.31 : 3,527.44 = 3,527.44 : x
  2. Step 2: Convert to fraction form
    2,356.31/3,527.44 = 3,527.44/x
  3. Step 3: Cross multiply
    2,356.31x = 3,527.44 × 3,527.44
  4. Step 4: Simplify right side
    2,356.31x = 12,442,815.32
  5. Step 5: Solve for x
    x = 12,442,815.32/2,356.31
  6. Step 6: Final answer
    x = 5,280.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.