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Finding the Third Proportional to 1,714.92 and 4,023.42

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Solution

The third proportional to 1,714.92 and 4,023.42 is: 9,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.92 : 4,023.42 = 4,023.42 : x
  2. Step 2: Convert to fraction form
    1,714.92/4,023.42 = 4,023.42/x
  3. Step 3: Cross multiply
    1,714.92x = 4,023.42 × 4,023.42
  4. Step 4: Simplify right side
    1,714.92x = 16,187,923.58
  5. Step 5: Solve for x
    x = 16,187,923.58/1,714.92
  6. Step 6: Final answer
    x = 9,439.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.