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Finding the Third Proportional to 24,219 and 32,872.50

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Solution

The third proportional to 24,219 and 32,872.50 is: 44,617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,219 : 32,872.50 = 32,872.50 : x
  2. Step 2: Convert to fraction form
    24,219/32,872.50 = 32,872.50/x
  3. Step 3: Cross multiply
    24,219x = 32,872.50 × 32,872.50
  4. Step 4: Simplify right side
    24,219x = 1,080,601,256.25
  5. Step 5: Solve for x
    x = 1,080,601,256.25/24,219
  6. Step 6: Final answer
    x = 44,617.91

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.