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Finding the Third Proportional to 36,441 and 54,916.50

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Solution

The third proportional to 36,441 and 54,916.50 is: 82,759.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,441 : 54,916.50 = 54,916.50 : x
  2. Step 2: Convert to fraction form
    36,441/54,916.50 = 54,916.50/x
  3. Step 3: Cross multiply
    36,441x = 54,916.50 × 54,916.50
  4. Step 4: Simplify right side
    36,441x = 3,015,821,972.25
  5. Step 5: Solve for x
    x = 3,015,821,972.25/36,441
  6. Step 6: Final answer
    x = 82,759.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.