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Finding the Third Proportional to 38,098.50 and 87,622

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Solution

The third proportional to 38,098.50 and 87,622 is: 201,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,098.50 : 87,622 = 87,622 : x
  2. Step 2: Convert to fraction form
    38,098.50/87,622 = 87,622/x
  3. Step 3: Cross multiply
    38,098.50x = 87,622 × 87,622
  4. Step 4: Simplify right side
    38,098.50x = 7,677,614,884
  5. Step 5: Solve for x
    x = 7,677,614,884/38,098.50
  6. Step 6: Final answer
    x = 201,520.14

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.