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Finding the Third Proportional to 36,548 and 55,800

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Solution

The third proportional to 36,548 and 55,800 is: 85,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,548 : 55,800 = 55,800 : x
  2. Step 2: Convert to fraction form
    36,548/55,800 = 55,800/x
  3. Step 3: Cross multiply
    36,548x = 55,800 × 55,800
  4. Step 4: Simplify right side
    36,548x = 3,113,640,000
  5. Step 5: Solve for x
    x = 3,113,640,000/36,548
  6. Step 6: Final answer
    x = 85,193.17

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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.