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Finding the Third Proportional to 2,104.31 and 2,913.38

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Solution

The third proportional to 2,104.31 and 2,913.38 is: 4,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.31 : 2,913.38 = 2,913.38 : x
  2. Step 2: Convert to fraction form
    2,104.31/2,913.38 = 2,913.38/x
  3. Step 3: Cross multiply
    2,104.31x = 2,913.38 × 2,913.38
  4. Step 4: Simplify right side
    2,104.31x = 8,487,753.89
  5. Step 5: Solve for x
    x = 8,487,753.89/2,104.31
  6. Step 6: Final answer
    x = 4,033.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.