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Finding the Third Proportional to 41,983.50 and 90,732

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Solution

The third proportional to 41,983.50 and 90,732 is: 196,084.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,983.50 : 90,732 = 90,732 : x
  2. Step 2: Convert to fraction form
    41,983.50/90,732 = 90,732/x
  3. Step 3: Cross multiply
    41,983.50x = 90,732 × 90,732
  4. Step 4: Simplify right side
    41,983.50x = 8,232,295,824
  5. Step 5: Solve for x
    x = 8,232,295,824/41,983.50
  6. Step 6: Final answer
    x = 196,084.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.