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Finding the Third Proportional to 37,419 and 62,358

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Solution

The third proportional to 37,419 and 62,358 is: 103,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,419 : 62,358 = 62,358 : x
  2. Step 2: Convert to fraction form
    37,419/62,358 = 62,358/x
  3. Step 3: Cross multiply
    37,419x = 62,358 × 62,358
  4. Step 4: Simplify right side
    37,419x = 3,888,520,164
  5. Step 5: Solve for x
    x = 3,888,520,164/37,419
  6. Step 6: Final answer
    x = 103,918.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.