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Finding the Third Proportional to 1,677.09 and 3,610.97

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Solution

The third proportional to 1,677.09 and 3,610.97 is: 7,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.09 : 3,610.97 = 3,610.97 : x
  2. Step 2: Convert to fraction form
    1,677.09/3,610.97 = 3,610.97/x
  3. Step 3: Cross multiply
    1,677.09x = 3,610.97 × 3,610.97
  4. Step 4: Simplify right side
    1,677.09x = 13,039,095.31
  5. Step 5: Solve for x
    x = 13,039,095.31/1,677.09
  6. Step 6: Final answer
    x = 7,774.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.