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Finding the Third Proportional to 38,733 and 59,214

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Solution

The third proportional to 38,733 and 59,214 is: 90,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,733 : 59,214 = 59,214 : x
  2. Step 2: Convert to fraction form
    38,733/59,214 = 59,214/x
  3. Step 3: Cross multiply
    38,733x = 59,214 × 59,214
  4. Step 4: Simplify right side
    38,733x = 3,506,297,796
  5. Step 5: Solve for x
    x = 3,506,297,796/38,733
  6. Step 6: Final answer
    x = 90,524.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.