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Finding the Third Proportional to 1,067.63 and 1,405.13

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Solution

The third proportional to 1,067.63 and 1,405.13 is: 1,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.63 : 1,405.13 = 1,405.13 : x
  2. Step 2: Convert to fraction form
    1,067.63/1,405.13 = 1,405.13/x
  3. Step 3: Cross multiply
    1,067.63x = 1,405.13 × 1,405.13
  4. Step 4: Simplify right side
    1,067.63x = 1,974,376.27
  5. Step 5: Solve for x
    x = 1,974,376.27/1,067.63
  6. Step 6: Final answer
    x = 1,849.32

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.