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Finding the Third Proportional to 38,250.50 and 63,212

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Solution

The third proportional to 38,250.50 and 63,212 is: 104,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,250.50 : 63,212 = 63,212 : x
  2. Step 2: Convert to fraction form
    38,250.50/63,212 = 63,212/x
  3. Step 3: Cross multiply
    38,250.50x = 63,212 × 63,212
  4. Step 4: Simplify right side
    38,250.50x = 3,995,756,944
  5. Step 5: Solve for x
    x = 3,995,756,944/38,250.50
  6. Step 6: Final answer
    x = 104,462.87

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.