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Finding the Third Proportional to 3,343.78 and 7,216.59

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Solution

The third proportional to 3,343.78 and 7,216.59 is: 15,574.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.78 : 7,216.59 = 7,216.59 : x
  2. Step 2: Convert to fraction form
    3,343.78/7,216.59 = 7,216.59/x
  3. Step 3: Cross multiply
    3,343.78x = 7,216.59 × 7,216.59
  4. Step 4: Simplify right side
    3,343.78x = 52,079,225.35
  5. Step 5: Solve for x
    x = 52,079,225.35/3,343.78
  6. Step 6: Final answer
    x = 15,574.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.