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Finding the Third Proportional to 942.05 and 1,033.17

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Solution

The third proportional to 942.05 and 1,033.17 is: 1,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.05 : 1,033.17 = 1,033.17 : x
  2. Step 2: Convert to fraction form
    942.05/1,033.17 = 1,033.17/x
  3. Step 3: Cross multiply
    942.05x = 1,033.17 × 1,033.17
  4. Step 4: Simplify right side
    942.05x = 1,067,444.12
  5. Step 5: Solve for x
    x = 1,067,444.12/942.05
  6. Step 6: Final answer
    x = 1,133.11

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.