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Finding the Third Proportional to 21,974 and 48,319

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Solution

The third proportional to 21,974 and 48,319 is: 106,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974 : 48,319 = 48,319 : x
  2. Step 2: Convert to fraction form
    21,974/48,319 = 48,319/x
  3. Step 3: Cross multiply
    21,974x = 48,319 × 48,319
  4. Step 4: Simplify right side
    21,974x = 2,334,725,761
  5. Step 5: Solve for x
    x = 2,334,725,761/21,974
  6. Step 6: Final answer
    x = 106,249.47

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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.