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Finding the Third Proportional to 36,133.50 and 56,757

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Solution

The third proportional to 36,133.50 and 56,757 is: 89,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,133.50 : 56,757 = 56,757 : x
  2. Step 2: Convert to fraction form
    36,133.50/56,757 = 56,757/x
  3. Step 3: Cross multiply
    36,133.50x = 56,757 × 56,757
  4. Step 4: Simplify right side
    36,133.50x = 3,221,357,049
  5. Step 5: Solve for x
    x = 3,221,357,049/36,133.50
  6. Step 6: Final answer
    x = 89,151.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.