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Finding the Third Proportional to 926.75 and 2,239.75

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Solution

The third proportional to 926.75 and 2,239.75 is: 5,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.75 : 2,239.75 = 2,239.75 : x
  2. Step 2: Convert to fraction form
    926.75/2,239.75 = 2,239.75/x
  3. Step 3: Cross multiply
    926.75x = 2,239.75 × 2,239.75
  4. Step 4: Simplify right side
    926.75x = 5,016,480.06
  5. Step 5: Solve for x
    x = 5,016,480.06/926.75
  6. Step 6: Final answer
    x = 5,412.98

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.