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Finding the Third Proportional to 22,933.13 and 48,353.63

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Solution

The third proportional to 22,933.13 and 48,353.63 is: 101,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,933.13 : 48,353.63 = 48,353.63 : x
  2. Step 2: Convert to fraction form
    22,933.13/48,353.63 = 48,353.63/x
  3. Step 3: Cross multiply
    22,933.13x = 48,353.63 × 48,353.63
  4. Step 4: Simplify right side
    22,933.13x = 2,338,073,050.64
  5. Step 5: Solve for x
    x = 2,338,073,050.64/22,933.13
  6. Step 6: Final answer
    x = 101,951.79

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.