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Finding the Third Proportional to 9,757.69 and 20,729.81

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Solution

The third proportional to 9,757.69 and 20,729.81 is: 44,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.69 : 20,729.81 = 20,729.81 : x
  2. Step 2: Convert to fraction form
    9,757.69/20,729.81 = 20,729.81/x
  3. Step 3: Cross multiply
    9,757.69x = 20,729.81 × 20,729.81
  4. Step 4: Simplify right side
    9,757.69x = 429,725,126.29
  5. Step 5: Solve for x
    x = 429,725,126.29/9,757.69
  6. Step 6: Final answer
    x = 44,039.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.