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Finding the Third Proportional to 26,356.50 and 38,097

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Solution

The third proportional to 26,356.50 and 38,097 is: 55,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,356.50 : 38,097 = 38,097 : x
  2. Step 2: Convert to fraction form
    26,356.50/38,097 = 38,097/x
  3. Step 3: Cross multiply
    26,356.50x = 38,097 × 38,097
  4. Step 4: Simplify right side
    26,356.50x = 1,451,381,409
  5. Step 5: Solve for x
    x = 1,451,381,409/26,356.50
  6. Step 6: Final answer
    x = 55,067.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.