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Finding the Third Proportional to 1,407.44 and 2,997.13

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Solution

The third proportional to 1,407.44 and 2,997.13 is: 6,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.44 : 2,997.13 = 2,997.13 : x
  2. Step 2: Convert to fraction form
    1,407.44/2,997.13 = 2,997.13/x
  3. Step 3: Cross multiply
    1,407.44x = 2,997.13 × 2,997.13
  4. Step 4: Simplify right side
    1,407.44x = 8,982,758.27
  5. Step 5: Solve for x
    x = 8,982,758.27/1,407.44
  6. Step 6: Final answer
    x = 6,382.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.