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Finding the Third Proportional to 1,699.88 and 3,711.09

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Solution

The third proportional to 1,699.88 and 3,711.09 is: 8,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.88 : 3,711.09 = 3,711.09 : x
  2. Step 2: Convert to fraction form
    1,699.88/3,711.09 = 3,711.09/x
  3. Step 3: Cross multiply
    1,699.88x = 3,711.09 × 3,711.09
  4. Step 4: Simplify right side
    1,699.88x = 13,772,216.82
  5. Step 5: Solve for x
    x = 13,772,216.82/1,699.88
  6. Step 6: Final answer
    x = 8,101.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.