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Finding the Third Proportional to 36,559 and 55,108

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Solution

The third proportional to 36,559 and 55,108 is: 83,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,559 : 55,108 = 55,108 : x
  2. Step 2: Convert to fraction form
    36,559/55,108 = 55,108/x
  3. Step 3: Cross multiply
    36,559x = 55,108 × 55,108
  4. Step 4: Simplify right side
    36,559x = 3,036,891,664
  5. Step 5: Solve for x
    x = 3,036,891,664/36,559
  6. Step 6: Final answer
    x = 83,068.24

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