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Finding the Third Proportional to 36,952.50 and 81,285.75

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Solution

The third proportional to 36,952.50 and 81,285.75 is: 178,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,952.50 : 81,285.75 = 81,285.75 : x
  2. Step 2: Convert to fraction form
    36,952.50/81,285.75 = 81,285.75/x
  3. Step 3: Cross multiply
    36,952.50x = 81,285.75 × 81,285.75
  4. Step 4: Simplify right side
    36,952.50x = 6,607,373,153.06
  5. Step 5: Solve for x
    x = 6,607,373,153.06/36,952.50
  6. Step 6: Final answer
    x = 178,807.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.