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Finding the Third Proportional to 24,135.75 and 36,016.88

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Solution

The third proportional to 24,135.75 and 36,016.88 is: 53,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,135.75 : 36,016.88 = 36,016.88 : x
  2. Step 2: Convert to fraction form
    24,135.75/36,016.88 = 36,016.88/x
  3. Step 3: Cross multiply
    24,135.75x = 36,016.88 × 36,016.88
  4. Step 4: Simplify right side
    24,135.75x = 1,297,215,284.77
  5. Step 5: Solve for x
    x = 1,297,215,284.77/24,135.75
  6. Step 6: Final answer
    x = 53,746.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.