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Finding the Third Proportional to 2,014.56 and 3,113.06

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Solution

The third proportional to 2,014.56 and 3,113.06 is: 4,810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.56 : 3,113.06 = 3,113.06 : x
  2. Step 2: Convert to fraction form
    2,014.56/3,113.06 = 3,113.06/x
  3. Step 3: Cross multiply
    2,014.56x = 3,113.06 × 3,113.06
  4. Step 4: Simplify right side
    2,014.56x = 9,691,158.13
  5. Step 5: Solve for x
    x = 9,691,158.13/2,014.56
  6. Step 6: Final answer
    x = 4,810.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.