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Finding the Third Proportional to 1,934.86 and 4,239.42

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Solution

The third proportional to 1,934.86 and 4,239.42 is: 9,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.86 : 4,239.42 = 4,239.42 : x
  2. Step 2: Convert to fraction form
    1,934.86/4,239.42 = 4,239.42/x
  3. Step 3: Cross multiply
    1,934.86x = 4,239.42 × 4,239.42
  4. Step 4: Simplify right side
    1,934.86x = 17,972,697.83
  5. Step 5: Solve for x
    x = 17,972,697.83/1,934.86
  6. Step 6: Final answer
    x = 9,288.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.