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Finding the Third Proportional to 9,561.09 and 13,440.09

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Solution

The third proportional to 9,561.09 and 13,440.09 is: 18,892.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.09 : 13,440.09 = 13,440.09 : x
  2. Step 2: Convert to fraction form
    9,561.09/13,440.09 = 13,440.09/x
  3. Step 3: Cross multiply
    9,561.09x = 13,440.09 × 13,440.09
  4. Step 4: Simplify right side
    9,561.09x = 180,636,120.01
  5. Step 5: Solve for x
    x = 180,636,120.01/9,561.09
  6. Step 6: Final answer
    x = 18,892.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.