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Finding the Third Proportional to 758.63 and 2,043.75

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Solution

The third proportional to 758.63 and 2,043.75 is: 5,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.63 : 2,043.75 = 2,043.75 : x
  2. Step 2: Convert to fraction form
    758.63/2,043.75 = 2,043.75/x
  3. Step 3: Cross multiply
    758.63x = 2,043.75 × 2,043.75
  4. Step 4: Simplify right side
    758.63x = 4,176,914.06
  5. Step 5: Solve for x
    x = 4,176,914.06/758.63
  6. Step 6: Final answer
    x = 5,505.90

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.