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Finding the Third Proportional to 9,504 and 14,627.25

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Solution

The third proportional to 9,504 and 14,627.25 is: 22,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504 : 14,627.25 = 14,627.25 : x
  2. Step 2: Convert to fraction form
    9,504/14,627.25 = 14,627.25/x
  3. Step 3: Cross multiply
    9,504x = 14,627.25 × 14,627.25
  4. Step 4: Simplify right side
    9,504x = 213,956,442.56
  5. Step 5: Solve for x
    x = 213,956,442.56/9,504
  6. Step 6: Final answer
    x = 22,512.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.