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Finding the Third Proportional to 1,657.97 and 3,603.66

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Solution

The third proportional to 1,657.97 and 3,603.66 is: 7,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.97 : 3,603.66 = 3,603.66 : x
  2. Step 2: Convert to fraction form
    1,657.97/3,603.66 = 3,603.66/x
  3. Step 3: Cross multiply
    1,657.97x = 3,603.66 × 3,603.66
  4. Step 4: Simplify right side
    1,657.97x = 12,986,338.37
  5. Step 5: Solve for x
    x = 12,986,338.37/1,657.97
  6. Step 6: Final answer
    x = 7,832.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.