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Finding the Third Proportional to 33,647.50 and 48,905

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Solution

The third proportional to 33,647.50 and 48,905 is: 71,081.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.50 : 48,905 = 48,905 : x
  2. Step 2: Convert to fraction form
    33,647.50/48,905 = 48,905/x
  3. Step 3: Cross multiply
    33,647.50x = 48,905 × 48,905
  4. Step 4: Simplify right side
    33,647.50x = 2,391,699,025
  5. Step 5: Solve for x
    x = 2,391,699,025/33,647.50
  6. Step 6: Final answer
    x = 71,081.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.