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Finding the Third Proportional to 22,582.97 and 48,634.59

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Solution

The third proportional to 22,582.97 and 48,634.59 is: 104,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.97 : 48,634.59 = 48,634.59 : x
  2. Step 2: Convert to fraction form
    22,582.97/48,634.59 = 48,634.59/x
  3. Step 3: Cross multiply
    22,582.97x = 48,634.59 × 48,634.59
  4. Step 4: Simplify right side
    22,582.97x = 2,365,323,709.23
  5. Step 5: Solve for x
    x = 2,365,323,709.23/22,582.97
  6. Step 6: Final answer
    x = 104,739.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.