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Finding the Third Proportional to 47,238 and 63,873

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Solution

The third proportional to 47,238 and 63,873 is: 86,366.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,238 : 63,873 = 63,873 : x
  2. Step 2: Convert to fraction form
    47,238/63,873 = 63,873/x
  3. Step 3: Cross multiply
    47,238x = 63,873 × 63,873
  4. Step 4: Simplify right side
    47,238x = 4,079,760,129
  5. Step 5: Solve for x
    x = 4,079,760,129/47,238
  6. Step 6: Final answer
    x = 86,366.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.