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Finding the Third Proportional to 42,335 and 62,238

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Solution

The third proportional to 42,335 and 62,238 is: 91,498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,335 : 62,238 = 62,238 : x
  2. Step 2: Convert to fraction form
    42,335/62,238 = 62,238/x
  3. Step 3: Cross multiply
    42,335x = 62,238 × 62,238
  4. Step 4: Simplify right side
    42,335x = 3,873,568,644
  5. Step 5: Solve for x
    x = 3,873,568,644/42,335
  6. Step 6: Final answer
    x = 91,498.02

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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.