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Finding the Third Proportional to 2,323.88 and 3,250.41

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Solution

The third proportional to 2,323.88 and 3,250.41 is: 4,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.88 : 3,250.41 = 3,250.41 : x
  2. Step 2: Convert to fraction form
    2,323.88/3,250.41 = 3,250.41/x
  3. Step 3: Cross multiply
    2,323.88x = 3,250.41 × 3,250.41
  4. Step 4: Simplify right side
    2,323.88x = 10,565,140.79
  5. Step 5: Solve for x
    x = 10,565,140.79/2,323.88
  6. Step 6: Final answer
    x = 4,546.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.