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Finding the Third Proportional to 51,469.69 and 76,901.48

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Solution

The third proportional to 51,469.69 and 76,901.48 is: 114,899.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,469.69 : 76,901.48 = 76,901.48 : x
  2. Step 2: Convert to fraction form
    51,469.69/76,901.48 = 76,901.48/x
  3. Step 3: Cross multiply
    51,469.69x = 76,901.48 × 76,901.48
  4. Step 4: Simplify right side
    51,469.69x = 5,913,838,299.08
  5. Step 5: Solve for x
    x = 5,913,838,299.08/51,469.69
  6. Step 6: Final answer
    x = 114,899.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.