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Finding the Third Proportional to 40,930 and 63,204

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Solution

The third proportional to 40,930 and 63,204 is: 97,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,930 : 63,204 = 63,204 : x
  2. Step 2: Convert to fraction form
    40,930/63,204 = 63,204/x
  3. Step 3: Cross multiply
    40,930x = 63,204 × 63,204
  4. Step 4: Simplify right side
    40,930x = 3,994,745,616
  5. Step 5: Solve for x
    x = 3,994,745,616/40,930
  6. Step 6: Final answer
    x = 97,599.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.