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Finding the Third Proportional to 9,249.19 and 12,537.28

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Solution

The third proportional to 9,249.19 and 12,537.28 is: 16,994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.19 : 12,537.28 = 12,537.28 : x
  2. Step 2: Convert to fraction form
    9,249.19/12,537.28 = 12,537.28/x
  3. Step 3: Cross multiply
    9,249.19x = 12,537.28 × 12,537.28
  4. Step 4: Simplify right side
    9,249.19x = 157,183,421.14
  5. Step 5: Solve for x
    x = 157,183,421.14/9,249.19
  6. Step 6: Final answer
    x = 16,994.30

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.