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Finding the Third Proportional to 1,398.91 and 2,932.37

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Solution

The third proportional to 1,398.91 and 2,932.37 is: 6,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.91 : 2,932.37 = 2,932.37 : x
  2. Step 2: Convert to fraction form
    1,398.91/2,932.37 = 2,932.37/x
  3. Step 3: Cross multiply
    1,398.91x = 2,932.37 × 2,932.37
  4. Step 4: Simplify right side
    1,398.91x = 8,598,817.41
  5. Step 5: Solve for x
    x = 8,598,817.41/1,398.91
  6. Step 6: Final answer
    x = 6,146.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.