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Finding the Third Proportional to 36,219.50 and 55,406

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Solution

The third proportional to 36,219.50 and 55,406 is: 84,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,219.50 : 55,406 = 55,406 : x
  2. Step 2: Convert to fraction form
    36,219.50/55,406 = 55,406/x
  3. Step 3: Cross multiply
    36,219.50x = 55,406 × 55,406
  4. Step 4: Simplify right side
    36,219.50x = 3,069,824,836
  5. Step 5: Solve for x
    x = 3,069,824,836/36,219.50
  6. Step 6: Final answer
    x = 84,756.14

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.