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Finding the Third Proportional to 11,943.07 and 27,756.11

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Solution

The third proportional to 11,943.07 and 27,756.11 is: 64,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943.07 : 27,756.11 = 27,756.11 : x
  2. Step 2: Convert to fraction form
    11,943.07/27,756.11 = 27,756.11/x
  3. Step 3: Cross multiply
    11,943.07x = 27,756.11 × 27,756.11
  4. Step 4: Simplify right side
    11,943.07x = 770,401,390.79
  5. Step 5: Solve for x
    x = 770,401,390.79/11,943.07
  6. Step 6: Final answer
    x = 64,506.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.