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Finding the Third Proportional to 22,335.75 and 48,675.94

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Solution

The third proportional to 22,335.75 and 48,675.94 is: 106,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,335.75 : 48,675.94 = 48,675.94 : x
  2. Step 2: Convert to fraction form
    22,335.75/48,675.94 = 48,675.94/x
  3. Step 3: Cross multiply
    22,335.75x = 48,675.94 × 48,675.94
  4. Step 4: Simplify right side
    22,335.75x = 2,369,346,891.50
  5. Step 5: Solve for x
    x = 2,369,346,891.50/22,335.75
  6. Step 6: Final answer
    x = 106,078.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.