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Finding the Third Proportional to 2,697.38 and 5,895.75

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Solution

The third proportional to 2,697.38 and 5,895.75 is: 12,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.38 : 5,895.75 = 5,895.75 : x
  2. Step 2: Convert to fraction form
    2,697.38/5,895.75 = 5,895.75/x
  3. Step 3: Cross multiply
    2,697.38x = 5,895.75 × 5,895.75
  4. Step 4: Simplify right side
    2,697.38x = 34,759,868.06
  5. Step 5: Solve for x
    x = 34,759,868.06/2,697.38
  6. Step 6: Final answer
    x = 12,886.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.