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Finding the Third Proportional to 1,695.94 and 3,149.72

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Solution

The third proportional to 1,695.94 and 3,149.72 is: 5,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.94 : 3,149.72 = 3,149.72 : x
  2. Step 2: Convert to fraction form
    1,695.94/3,149.72 = 3,149.72/x
  3. Step 3: Cross multiply
    1,695.94x = 3,149.72 × 3,149.72
  4. Step 4: Simplify right side
    1,695.94x = 9,920,728.20
  5. Step 5: Solve for x
    x = 9,920,728.20/1,695.94
  6. Step 6: Final answer
    x = 5,849.70

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.