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Finding the Third Proportional to 38,772 and 85,563

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Solution

The third proportional to 38,772 and 85,563 is: 188,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,772 : 85,563 = 85,563 : x
  2. Step 2: Convert to fraction form
    38,772/85,563 = 85,563/x
  3. Step 3: Cross multiply
    38,772x = 85,563 × 85,563
  4. Step 4: Simplify right side
    38,772x = 7,321,026,969
  5. Step 5: Solve for x
    x = 7,321,026,969/38,772
  6. Step 6: Final answer
    x = 188,822.53

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.