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Finding the Third Proportional to 21,896 and 48,166

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Solution

The third proportional to 21,896 and 48,166 is: 105,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,896 : 48,166 = 48,166 : x
  2. Step 2: Convert to fraction form
    21,896/48,166 = 48,166/x
  3. Step 3: Cross multiply
    21,896x = 48,166 × 48,166
  4. Step 4: Simplify right side
    21,896x = 2,319,963,556
  5. Step 5: Solve for x
    x = 2,319,963,556/21,896
  6. Step 6: Final answer
    x = 105,953.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.