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Finding the Third Proportional to 2,690.44 and 3,947.06

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Solution

The third proportional to 2,690.44 and 3,947.06 is: 5,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.44 : 3,947.06 = 3,947.06 : x
  2. Step 2: Convert to fraction form
    2,690.44/3,947.06 = 3,947.06/x
  3. Step 3: Cross multiply
    2,690.44x = 3,947.06 × 3,947.06
  4. Step 4: Simplify right side
    2,690.44x = 15,579,302.38
  5. Step 5: Solve for x
    x = 15,579,302.38/2,690.44
  6. Step 6: Final answer
    x = 5,790.62

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Why These Related Problems?

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