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Finding the Third Proportional to 23,798.81 and 52,268.77

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Solution

The third proportional to 23,798.81 and 52,268.77 is: 114,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798.81 : 52,268.77 = 52,268.77 : x
  2. Step 2: Convert to fraction form
    23,798.81/52,268.77 = 52,268.77/x
  3. Step 3: Cross multiply
    23,798.81x = 52,268.77 × 52,268.77
  4. Step 4: Simplify right side
    23,798.81x = 2,732,023,859.96
  5. Step 5: Solve for x
    x = 2,732,023,859.96/23,798.81
  6. Step 6: Final answer
    x = 114,796.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.