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Finding the Third Proportional to 1,284.19 and 1,932.19

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Solution

The third proportional to 1,284.19 and 1,932.19 is: 2,907.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.19 : 1,932.19 = 1,932.19 : x
  2. Step 2: Convert to fraction form
    1,284.19/1,932.19 = 1,932.19/x
  3. Step 3: Cross multiply
    1,284.19x = 1,932.19 × 1,932.19
  4. Step 4: Simplify right side
    1,284.19x = 3,733,348.54
  5. Step 5: Solve for x
    x = 3,733,348.54/1,284.19
  6. Step 6: Final answer
    x = 2,907.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.