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Finding the Third Proportional to 9,352.97 and 14,481.28

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Solution

The third proportional to 9,352.97 and 14,481.28 is: 22,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.97 : 14,481.28 = 14,481.28 : x
  2. Step 2: Convert to fraction form
    9,352.97/14,481.28 = 14,481.28/x
  3. Step 3: Cross multiply
    9,352.97x = 14,481.28 × 14,481.28
  4. Step 4: Simplify right side
    9,352.97x = 209,707,506.64
  5. Step 5: Solve for x
    x = 209,707,506.64/9,352.97
  6. Step 6: Final answer
    x = 22,421.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.