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Finding the Third Proportional to 36,889 and 55,370

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Solution

The third proportional to 36,889 and 55,370 is: 83,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,889 : 55,370 = 55,370 : x
  2. Step 2: Convert to fraction form
    36,889/55,370 = 55,370/x
  3. Step 3: Cross multiply
    36,889x = 55,370 × 55,370
  4. Step 4: Simplify right side
    36,889x = 3,065,836,900
  5. Step 5: Solve for x
    x = 3,065,836,900/36,889
  6. Step 6: Final answer
    x = 83,109.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.