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Finding the Third Proportional to 3,395.25 and 5,071.88

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Solution

The third proportional to 3,395.25 and 5,071.88 is: 7,576.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.25 : 5,071.88 = 5,071.88 : x
  2. Step 2: Convert to fraction form
    3,395.25/5,071.88 = 5,071.88/x
  3. Step 3: Cross multiply
    3,395.25x = 5,071.88 × 5,071.88
  4. Step 4: Simplify right side
    3,395.25x = 25,723,916.02
  5. Step 5: Solve for x
    x = 25,723,916.02/3,395.25
  6. Step 6: Final answer
    x = 7,576.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.