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Finding the Third Proportional to 21,856 and 47,924

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Solution

The third proportional to 21,856 and 47,924 is: 105,083.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856 : 47,924 = 47,924 : x
  2. Step 2: Convert to fraction form
    21,856/47,924 = 47,924/x
  3. Step 3: Cross multiply
    21,856x = 47,924 × 47,924
  4. Step 4: Simplify right side
    21,856x = 2,296,709,776
  5. Step 5: Solve for x
    x = 2,296,709,776/21,856
  6. Step 6: Final answer
    x = 105,083.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.