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Finding the Third Proportional to 17,006.25 and 24,990

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Solution

The third proportional to 17,006.25 and 24,990 is: 36,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006.25 : 24,990 = 24,990 : x
  2. Step 2: Convert to fraction form
    17,006.25/24,990 = 24,990/x
  3. Step 3: Cross multiply
    17,006.25x = 24,990 × 24,990
  4. Step 4: Simplify right side
    17,006.25x = 624,500,100
  5. Step 5: Solve for x
    x = 624,500,100/17,006.25
  6. Step 6: Final answer
    x = 36,721.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.