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Finding the Third Proportional to 1,043.75 and 2,426.88

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Solution

The third proportional to 1,043.75 and 2,426.88 is: 5,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.75 : 2,426.88 = 2,426.88 : x
  2. Step 2: Convert to fraction form
    1,043.75/2,426.88 = 2,426.88/x
  3. Step 3: Cross multiply
    1,043.75x = 2,426.88 × 2,426.88
  4. Step 4: Simplify right side
    1,043.75x = 5,889,722.27
  5. Step 5: Solve for x
    x = 5,889,722.27/1,043.75
  6. Step 6: Final answer
    x = 5,642.85

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.