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Finding the Third Proportional to 60,324.75 and 82,731.38

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Solution

The third proportional to 60,324.75 and 82,731.38 is: 113,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,324.75 : 82,731.38 = 82,731.38 : x
  2. Step 2: Convert to fraction form
    60,324.75/82,731.38 = 82,731.38/x
  3. Step 3: Cross multiply
    60,324.75x = 82,731.38 × 82,731.38
  4. Step 4: Simplify right side
    60,324.75x = 6,844,480,409.39
  5. Step 5: Solve for x
    x = 6,844,480,409.39/60,324.75
  6. Step 6: Final answer
    x = 113,460.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.