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Finding the Third Proportional to 2,713.31 and 4,069.22

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Solution

The third proportional to 2,713.31 and 4,069.22 is: 6,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.31 : 4,069.22 = 4,069.22 : x
  2. Step 2: Convert to fraction form
    2,713.31/4,069.22 = 4,069.22/x
  3. Step 3: Cross multiply
    2,713.31x = 4,069.22 × 4,069.22
  4. Step 4: Simplify right side
    2,713.31x = 16,558,541.24
  5. Step 5: Solve for x
    x = 16,558,541.24/2,713.31
  6. Step 6: Final answer
    x = 6,102.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.