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Finding the Third Proportional to 7,175.25 and 16,737.75

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Solution

The third proportional to 7,175.25 and 16,737.75 is: 39,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.25 : 16,737.75 = 16,737.75 : x
  2. Step 2: Convert to fraction form
    7,175.25/16,737.75 = 16,737.75/x
  3. Step 3: Cross multiply
    7,175.25x = 16,737.75 × 16,737.75
  4. Step 4: Simplify right side
    7,175.25x = 280,152,275.06
  5. Step 5: Solve for x
    x = 280,152,275.06/7,175.25
  6. Step 6: Final answer
    x = 39,044.25

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.