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Finding the Third Proportional to 7,829.25 and 16,890

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Solution

The third proportional to 7,829.25 and 16,890 is: 36,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.25 : 16,890 = 16,890 : x
  2. Step 2: Convert to fraction form
    7,829.25/16,890 = 16,890/x
  3. Step 3: Cross multiply
    7,829.25x = 16,890 × 16,890
  4. Step 4: Simplify right side
    7,829.25x = 285,272,100
  5. Step 5: Solve for x
    x = 285,272,100/7,829.25
  6. Step 6: Final answer
    x = 36,436.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.