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Finding the Third Proportional to 24,156 and 32,504

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Solution

The third proportional to 24,156 and 32,504 is: 43,736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,156 : 32,504 = 32,504 : x
  2. Step 2: Convert to fraction form
    24,156/32,504 = 32,504/x
  3. Step 3: Cross multiply
    24,156x = 32,504 × 32,504
  4. Step 4: Simplify right side
    24,156x = 1,056,510,016
  5. Step 5: Solve for x
    x = 1,056,510,016/24,156
  6. Step 6: Final answer
    x = 43,736.96

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.