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Finding the Third Proportional to 39,648 and 61,364

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Solution

The third proportional to 39,648 and 61,364 is: 94,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,648 : 61,364 = 61,364 : x
  2. Step 2: Convert to fraction form
    39,648/61,364 = 61,364/x
  3. Step 3: Cross multiply
    39,648x = 61,364 × 61,364
  4. Step 4: Simplify right side
    39,648x = 3,765,540,496
  5. Step 5: Solve for x
    x = 3,765,540,496/39,648
  6. Step 6: Final answer
    x = 94,974.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.