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Finding the Third Proportional to 27,991.75 and 43,339.75

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Solution

The third proportional to 27,991.75 and 43,339.75 is: 67,103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,991.75 : 43,339.75 = 43,339.75 : x
  2. Step 2: Convert to fraction form
    27,991.75/43,339.75 = 43,339.75/x
  3. Step 3: Cross multiply
    27,991.75x = 43,339.75 × 43,339.75
  4. Step 4: Simplify right side
    27,991.75x = 1,878,333,930.06
  5. Step 5: Solve for x
    x = 1,878,333,930.06/27,991.75
  6. Step 6: Final answer
    x = 67,103.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.