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Finding the Third Proportional to 2,059.17 and 3,253.92

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Solution

The third proportional to 2,059.17 and 3,253.92 is: 5,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.17 : 3,253.92 = 3,253.92 : x
  2. Step 2: Convert to fraction form
    2,059.17/3,253.92 = 3,253.92/x
  3. Step 3: Cross multiply
    2,059.17x = 3,253.92 × 3,253.92
  4. Step 4: Simplify right side
    2,059.17x = 10,588,007.57
  5. Step 5: Solve for x
    x = 10,588,007.57/2,059.17
  6. Step 6: Final answer
    x = 5,141.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.