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Finding the Third Proportional to 44,738 and 94,796

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Solution

The third proportional to 44,738 and 94,796 is: 200,864.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,738 : 94,796 = 94,796 : x
  2. Step 2: Convert to fraction form
    44,738/94,796 = 94,796/x
  3. Step 3: Cross multiply
    44,738x = 94,796 × 94,796
  4. Step 4: Simplify right side
    44,738x = 8,986,281,616
  5. Step 5: Solve for x
    x = 8,986,281,616/44,738
  6. Step 6: Final answer
    x = 200,864.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.