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Finding the Third Proportional to 36,342 and 56,619

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Solution

The third proportional to 36,342 and 56,619 is: 88,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,342 : 56,619 = 56,619 : x
  2. Step 2: Convert to fraction form
    36,342/56,619 = 56,619/x
  3. Step 3: Cross multiply
    36,342x = 56,619 × 56,619
  4. Step 4: Simplify right side
    36,342x = 3,205,711,161
  5. Step 5: Solve for x
    x = 3,205,711,161/36,342
  6. Step 6: Final answer
    x = 88,209.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.