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Finding the Third Proportional to 3,114.56 and 4,041.56

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Solution

The third proportional to 3,114.56 and 4,041.56 is: 5,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.56 : 4,041.56 = 4,041.56 : x
  2. Step 2: Convert to fraction form
    3,114.56/4,041.56 = 4,041.56/x
  3. Step 3: Cross multiply
    3,114.56x = 4,041.56 × 4,041.56
  4. Step 4: Simplify right side
    3,114.56x = 16,334,227.44
  5. Step 5: Solve for x
    x = 16,334,227.44/3,114.56
  6. Step 6: Final answer
    x = 5,244.47

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.