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Finding the Third Proportional to 1,731.38 and 2,246.06

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Solution

The third proportional to 1,731.38 and 2,246.06 is: 2,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.38 : 2,246.06 = 2,246.06 : x
  2. Step 2: Convert to fraction form
    1,731.38/2,246.06 = 2,246.06/x
  3. Step 3: Cross multiply
    1,731.38x = 2,246.06 × 2,246.06
  4. Step 4: Simplify right side
    1,731.38x = 5,044,796.75
  5. Step 5: Solve for x
    x = 5,044,796.75/1,731.38
  6. Step 6: Final answer
    x = 2,913.75

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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.