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Finding the Third Proportional to 1,703.11 and 3,804.82

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Solution

The third proportional to 1,703.11 and 3,804.82 is: 8,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.11 : 3,804.82 = 3,804.82 : x
  2. Step 2: Convert to fraction form
    1,703.11/3,804.82 = 3,804.82/x
  3. Step 3: Cross multiply
    1,703.11x = 3,804.82 × 3,804.82
  4. Step 4: Simplify right side
    1,703.11x = 14,476,657.61
  5. Step 5: Solve for x
    x = 14,476,657.61/1,703.11
  6. Step 6: Final answer
    x = 8,500.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.