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Finding the Third Proportional to 38,647.13 and 82,356.75

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Solution

The third proportional to 38,647.13 and 82,356.75 is: 175,501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,647.13 : 82,356.75 = 82,356.75 : x
  2. Step 2: Convert to fraction form
    38,647.13/82,356.75 = 82,356.75/x
  3. Step 3: Cross multiply
    38,647.13x = 82,356.75 × 82,356.75
  4. Step 4: Simplify right side
    38,647.13x = 6,782,634,270.56
  5. Step 5: Solve for x
    x = 6,782,634,270.56/38,647.13
  6. Step 6: Final answer
    x = 175,501.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.