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Finding the Third Proportional to 48,164.25 and 63,927

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Solution

The third proportional to 48,164.25 and 63,927 is: 84,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,164.25 : 63,927 = 63,927 : x
  2. Step 2: Convert to fraction form
    48,164.25/63,927 = 63,927/x
  3. Step 3: Cross multiply
    48,164.25x = 63,927 × 63,927
  4. Step 4: Simplify right side
    48,164.25x = 4,086,661,329
  5. Step 5: Solve for x
    x = 4,086,661,329/48,164.25
  6. Step 6: Final answer
    x = 84,848.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.