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Finding the Third Proportional to 9,524.25 and 15,197.63

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Solution

The third proportional to 9,524.25 and 15,197.63 is: 24,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.25 : 15,197.63 = 15,197.63 : x
  2. Step 2: Convert to fraction form
    9,524.25/15,197.63 = 15,197.63/x
  3. Step 3: Cross multiply
    9,524.25x = 15,197.63 × 15,197.63
  4. Step 4: Simplify right side
    9,524.25x = 230,967,805.64
  5. Step 5: Solve for x
    x = 230,967,805.64/9,524.25
  6. Step 6: Final answer
    x = 24,250.50

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.