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Finding the Third Proportional to 9,756.07 and 10,781.23

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Solution

The third proportional to 9,756.07 and 10,781.23 is: 11,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.07 : 10,781.23 = 10,781.23 : x
  2. Step 2: Convert to fraction form
    9,756.07/10,781.23 = 10,781.23/x
  3. Step 3: Cross multiply
    9,756.07x = 10,781.23 × 10,781.23
  4. Step 4: Simplify right side
    9,756.07x = 116,234,846.19
  5. Step 5: Solve for x
    x = 116,234,846.19/9,756.07
  6. Step 6: Final answer
    x = 11,914.11

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.