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Finding the Third Proportional to 24,633.75 and 36,077.25

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Solution

The third proportional to 24,633.75 and 36,077.25 is: 52,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,633.75 : 36,077.25 = 36,077.25 : x
  2. Step 2: Convert to fraction form
    24,633.75/36,077.25 = 36,077.25/x
  3. Step 3: Cross multiply
    24,633.75x = 36,077.25 × 36,077.25
  4. Step 4: Simplify right side
    24,633.75x = 1,301,567,967.56
  5. Step 5: Solve for x
    x = 1,301,567,967.56/24,633.75
  6. Step 6: Final answer
    x = 52,836.78

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.