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Finding the Third Proportional to 36,278.72 and 54,965.67

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Solution

The third proportional to 36,278.72 and 54,965.67 is: 83,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,278.72 : 54,965.67 = 54,965.67 : x
  2. Step 2: Convert to fraction form
    36,278.72/54,965.67 = 54,965.67/x
  3. Step 3: Cross multiply
    36,278.72x = 54,965.67 × 54,965.67
  4. Step 4: Simplify right side
    36,278.72x = 3,021,225,084.67
  5. Step 5: Solve for x
    x = 3,021,225,084.67/36,278.72
  6. Step 6: Final answer
    x = 83,278.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.