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Finding the Third Proportional to 36,224 and 51,291

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Solution

The third proportional to 36,224 and 51,291 is: 72,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,224 : 51,291 = 51,291 : x
  2. Step 2: Convert to fraction form
    36,224/51,291 = 51,291/x
  3. Step 3: Cross multiply
    36,224x = 51,291 × 51,291
  4. Step 4: Simplify right side
    36,224x = 2,630,766,681
  5. Step 5: Solve for x
    x = 2,630,766,681/36,224
  6. Step 6: Final answer
    x = 72,624.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.