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Finding the Third Proportional to 39,437 and 85,563

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Solution

The third proportional to 39,437 and 85,563 is: 185,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,437 : 85,563 = 85,563 : x
  2. Step 2: Convert to fraction form
    39,437/85,563 = 85,563/x
  3. Step 3: Cross multiply
    39,437x = 85,563 × 85,563
  4. Step 4: Simplify right side
    39,437x = 7,321,026,969
  5. Step 5: Solve for x
    x = 7,321,026,969/39,437
  6. Step 6: Final answer
    x = 185,638.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.