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Finding the Third Proportional to 2,367 and 3,535.88

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Solution

The third proportional to 2,367 and 3,535.88 is: 5,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367 : 3,535.88 = 3,535.88 : x
  2. Step 2: Convert to fraction form
    2,367/3,535.88 = 3,535.88/x
  3. Step 3: Cross multiply
    2,367x = 3,535.88 × 3,535.88
  4. Step 4: Simplify right side
    2,367x = 12,502,412.02
  5. Step 5: Solve for x
    x = 12,502,412.02/2,367
  6. Step 6: Final answer
    x = 5,281.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.