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Finding the Third Proportional to 24,832.50 and 54,307

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Solution

The third proportional to 24,832.50 and 54,307 is: 118,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,832.50 : 54,307 = 54,307 : x
  2. Step 2: Convert to fraction form
    24,832.50/54,307 = 54,307/x
  3. Step 3: Cross multiply
    24,832.50x = 54,307 × 54,307
  4. Step 4: Simplify right side
    24,832.50x = 2,949,250,249
  5. Step 5: Solve for x
    x = 2,949,250,249/24,832.50
  6. Step 6: Final answer
    x = 118,765.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.