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Finding the Third Proportional to 22,659 and 48,599.25

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Solution

The third proportional to 22,659 and 48,599.25 is: 104,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,659 : 48,599.25 = 48,599.25 : x
  2. Step 2: Convert to fraction form
    22,659/48,599.25 = 48,599.25/x
  3. Step 3: Cross multiply
    22,659x = 48,599.25 × 48,599.25
  4. Step 4: Simplify right side
    22,659x = 2,361,887,100.56
  5. Step 5: Solve for x
    x = 2,361,887,100.56/22,659
  6. Step 6: Final answer
    x = 104,236.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.