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Finding the Third Proportional to 37,238 and 58,289

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Solution

The third proportional to 37,238 and 58,289 is: 91,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,238 : 58,289 = 58,289 : x
  2. Step 2: Convert to fraction form
    37,238/58,289 = 58,289/x
  3. Step 3: Cross multiply
    37,238x = 58,289 × 58,289
  4. Step 4: Simplify right side
    37,238x = 3,397,607,521
  5. Step 5: Solve for x
    x = 3,397,607,521/37,238
  6. Step 6: Final answer
    x = 91,240.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.