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Finding the Third Proportional to 15,936.75 and 35,091

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Solution

The third proportional to 15,936.75 and 35,091 is: 77,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,936.75 : 35,091 = 35,091 : x
  2. Step 2: Convert to fraction form
    15,936.75/35,091 = 35,091/x
  3. Step 3: Cross multiply
    15,936.75x = 35,091 × 35,091
  4. Step 4: Simplify right side
    15,936.75x = 1,231,378,281
  5. Step 5: Solve for x
    x = 1,231,378,281/15,936.75
  6. Step 6: Final answer
    x = 77,266.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.