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Finding the Third Proportional to 7,352.63 and 11,249.16

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Solution

The third proportional to 7,352.63 and 11,249.16 is: 17,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.63 : 11,249.16 = 11,249.16 : x
  2. Step 2: Convert to fraction form
    7,352.63/11,249.16 = 11,249.16/x
  3. Step 3: Cross multiply
    7,352.63x = 11,249.16 × 11,249.16
  4. Step 4: Simplify right side
    7,352.63x = 126,543,516.34
  5. Step 5: Solve for x
    x = 126,543,516.34/7,352.63
  6. Step 6: Final answer
    x = 17,210.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.