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Finding the Third Proportional to 2,393.16 and 3,520.41

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Solution

The third proportional to 2,393.16 and 3,520.41 is: 5,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.16 : 3,520.41 = 3,520.41 : x
  2. Step 2: Convert to fraction form
    2,393.16/3,520.41 = 3,520.41/x
  3. Step 3: Cross multiply
    2,393.16x = 3,520.41 × 3,520.41
  4. Step 4: Simplify right side
    2,393.16x = 12,393,260.17
  5. Step 5: Solve for x
    x = 12,393,260.17/2,393.16
  6. Step 6: Final answer
    x = 5,178.63

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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.