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Finding the Third Proportional to 37,648 and 74,348

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Solution

The third proportional to 37,648 and 74,348 is: 146,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648 : 74,348 = 74,348 : x
  2. Step 2: Convert to fraction form
    37,648/74,348 = 74,348/x
  3. Step 3: Cross multiply
    37,648x = 74,348 × 74,348
  4. Step 4: Simplify right side
    37,648x = 5,527,625,104
  5. Step 5: Solve for x
    x = 5,527,625,104/37,648
  6. Step 6: Final answer
    x = 146,823.87

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.