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Finding the Third Proportional to 22,178 and 47,873

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Solution

The third proportional to 22,178 and 47,873 is: 103,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,178 : 47,873 = 47,873 : x
  2. Step 2: Convert to fraction form
    22,178/47,873 = 47,873/x
  3. Step 3: Cross multiply
    22,178x = 47,873 × 47,873
  4. Step 4: Simplify right side
    22,178x = 2,291,824,129
  5. Step 5: Solve for x
    x = 2,291,824,129/22,178
  6. Step 6: Final answer
    x = 103,337.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.