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Finding the Third Proportional to 42,832 and 62,785.75

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Solution

The third proportional to 42,832 and 62,785.75 is: 92,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,832 : 62,785.75 = 62,785.75 : x
  2. Step 2: Convert to fraction form
    42,832/62,785.75 = 62,785.75/x
  3. Step 3: Cross multiply
    42,832x = 62,785.75 × 62,785.75
  4. Step 4: Simplify right side
    42,832x = 3,942,050,403.06
  5. Step 5: Solve for x
    x = 3,942,050,403.06/42,832
  6. Step 6: Final answer
    x = 92,035.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.