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Finding the Third Proportional to 42,382 and 62,259

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Solution

The third proportional to 42,382 and 62,259 is: 91,458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,382 : 62,259 = 62,259 : x
  2. Step 2: Convert to fraction form
    42,382/62,259 = 62,259/x
  3. Step 3: Cross multiply
    42,382x = 62,259 × 62,259
  4. Step 4: Simplify right side
    42,382x = 3,876,183,081
  5. Step 5: Solve for x
    x = 3,876,183,081/42,382
  6. Step 6: Final answer
    x = 91,458.24

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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.