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Finding the Third Proportional to 37,588.50 and 87,399

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Solution

The third proportional to 37,588.50 and 87,399 is: 203,216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,588.50 : 87,399 = 87,399 : x
  2. Step 2: Convert to fraction form
    37,588.50/87,399 = 87,399/x
  3. Step 3: Cross multiply
    37,588.50x = 87,399 × 87,399
  4. Step 4: Simplify right side
    37,588.50x = 7,638,585,201
  5. Step 5: Solve for x
    x = 7,638,585,201/37,588.50
  6. Step 6: Final answer
    x = 203,216.02

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.