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Finding the Third Proportional to 2,219.06 and 4,114.13

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Solution

The third proportional to 2,219.06 and 4,114.13 is: 7,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.06 : 4,114.13 = 4,114.13 : x
  2. Step 2: Convert to fraction form
    2,219.06/4,114.13 = 4,114.13/x
  3. Step 3: Cross multiply
    2,219.06x = 4,114.13 × 4,114.13
  4. Step 4: Simplify right side
    2,219.06x = 16,926,024.52
  5. Step 5: Solve for x
    x = 16,926,024.52/2,219.06
  6. Step 6: Final answer
    x = 7,627.56

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.