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Finding the Third Proportional to 2,119.72 and 3,118.18

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Solution

The third proportional to 2,119.72 and 3,118.18 is: 4,586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.72 : 3,118.18 = 3,118.18 : x
  2. Step 2: Convert to fraction form
    2,119.72/3,118.18 = 3,118.18/x
  3. Step 3: Cross multiply
    2,119.72x = 3,118.18 × 3,118.18
  4. Step 4: Simplify right side
    2,119.72x = 9,723,068.92
  5. Step 5: Solve for x
    x = 9,723,068.92/2,119.72
  6. Step 6: Final answer
    x = 4,586.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.