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Finding the Third Proportional to 1,067.19 and 2,187.06

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Solution

The third proportional to 1,067.19 and 2,187.06 is: 4,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.19 : 2,187.06 = 2,187.06 : x
  2. Step 2: Convert to fraction form
    1,067.19/2,187.06 = 2,187.06/x
  3. Step 3: Cross multiply
    1,067.19x = 2,187.06 × 2,187.06
  4. Step 4: Simplify right side
    1,067.19x = 4,783,242.38
  5. Step 5: Solve for x
    x = 4,783,242.38/1,067.19
  6. Step 6: Final answer
    x = 4,482.10

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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.