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Finding the Third Proportional to 9,965.25 and 15,194.25

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Solution

The third proportional to 9,965.25 and 15,194.25 is: 23,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.25 : 15,194.25 = 15,194.25 : x
  2. Step 2: Convert to fraction form
    9,965.25/15,194.25 = 15,194.25/x
  3. Step 3: Cross multiply
    9,965.25x = 15,194.25 × 15,194.25
  4. Step 4: Simplify right side
    9,965.25x = 230,865,233.06
  5. Step 5: Solve for x
    x = 230,865,233.06/9,965.25
  6. Step 6: Final answer
    x = 23,167.03

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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.