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Finding the Third Proportional to 16,531 and 24,832.50

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Solution

The third proportional to 16,531 and 24,832.50 is: 37,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,531 : 24,832.50 = 24,832.50 : x
  2. Step 2: Convert to fraction form
    16,531/24,832.50 = 24,832.50/x
  3. Step 3: Cross multiply
    16,531x = 24,832.50 × 24,832.50
  4. Step 4: Simplify right side
    16,531x = 616,653,056.25
  5. Step 5: Solve for x
    x = 616,653,056.25/16,531
  6. Step 6: Final answer
    x = 37,302.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.