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Finding the Third Proportional to 1,695.52 and 3,709.97

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Solution

The third proportional to 1,695.52 and 3,709.97 is: 8,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.52 : 3,709.97 = 3,709.97 : x
  2. Step 2: Convert to fraction form
    1,695.52/3,709.97 = 3,709.97/x
  3. Step 3: Cross multiply
    1,695.52x = 3,709.97 × 3,709.97
  4. Step 4: Simplify right side
    1,695.52x = 13,763,868.13
  5. Step 5: Solve for x
    x = 13,763,868.13/1,695.52
  6. Step 6: Final answer
    x = 8,117.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.