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Finding the Third Proportional to 1,695.78 and 2,723.07

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Solution

The third proportional to 1,695.78 and 2,723.07 is: 4,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.78 : 2,723.07 = 2,723.07 : x
  2. Step 2: Convert to fraction form
    1,695.78/2,723.07 = 2,723.07/x
  3. Step 3: Cross multiply
    1,695.78x = 2,723.07 × 2,723.07
  4. Step 4: Simplify right side
    1,695.78x = 7,415,117.25
  5. Step 5: Solve for x
    x = 7,415,117.25/1,695.78
  6. Step 6: Final answer
    x = 4,372.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.