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Finding the Third Proportional to 15,092.25 and 22,889

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Solution

The third proportional to 15,092.25 and 22,889 is: 34,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,092.25 : 22,889 = 22,889 : x
  2. Step 2: Convert to fraction form
    15,092.25/22,889 = 22,889/x
  3. Step 3: Cross multiply
    15,092.25x = 22,889 × 22,889
  4. Step 4: Simplify right side
    15,092.25x = 523,906,321
  5. Step 5: Solve for x
    x = 523,906,321/15,092.25
  6. Step 6: Final answer
    x = 34,713.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.