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Finding the Third Proportional to 22,659.75 and 48,597.75

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Solution

The third proportional to 22,659.75 and 48,597.75 is: 104,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,659.75 : 48,597.75 = 48,597.75 : x
  2. Step 2: Convert to fraction form
    22,659.75/48,597.75 = 48,597.75/x
  3. Step 3: Cross multiply
    22,659.75x = 48,597.75 × 48,597.75
  4. Step 4: Simplify right side
    22,659.75x = 2,361,741,305.06
  5. Step 5: Solve for x
    x = 2,361,741,305.06/22,659.75
  6. Step 6: Final answer
    x = 104,226.27

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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.