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Finding the Third Proportional to 1,656.39 and 3,389.66

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Solution

The third proportional to 1,656.39 and 3,389.66 is: 6,936.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.39 : 3,389.66 = 3,389.66 : x
  2. Step 2: Convert to fraction form
    1,656.39/3,389.66 = 3,389.66/x
  3. Step 3: Cross multiply
    1,656.39x = 3,389.66 × 3,389.66
  4. Step 4: Simplify right side
    1,656.39x = 11,489,795.97
  5. Step 5: Solve for x
    x = 11,489,795.97/1,656.39
  6. Step 6: Final answer
    x = 6,936.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.