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Finding the Third Proportional to 9,829.69 and 20,737.69

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Solution

The third proportional to 9,829.69 and 20,737.69 is: 43,750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.69 : 20,737.69 = 20,737.69 : x
  2. Step 2: Convert to fraction form
    9,829.69/20,737.69 = 20,737.69/x
  3. Step 3: Cross multiply
    9,829.69x = 20,737.69 × 20,737.69
  4. Step 4: Simplify right side
    9,829.69x = 430,051,682.85
  5. Step 5: Solve for x
    x = 430,051,682.85/9,829.69
  6. Step 6: Final answer
    x = 43,750.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.