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Finding the Third Proportional to 2,919.38 and 4,271.06

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Solution

The third proportional to 2,919.38 and 4,271.06 is: 6,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.38 : 4,271.06 = 4,271.06 : x
  2. Step 2: Convert to fraction form
    2,919.38/4,271.06 = 4,271.06/x
  3. Step 3: Cross multiply
    2,919.38x = 4,271.06 × 4,271.06
  4. Step 4: Simplify right side
    2,919.38x = 18,241,974.88
  5. Step 5: Solve for x
    x = 18,241,974.88/2,919.38
  6. Step 6: Final answer
    x = 6,248.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.