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Finding the Third Proportional to 5,050.69 and 10,774.69

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Solution

The third proportional to 5,050.69 and 10,774.69 is: 22,985.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,050.69 : 10,774.69 = 10,774.69 : x
  2. Step 2: Convert to fraction form
    5,050.69/10,774.69 = 10,774.69/x
  3. Step 3: Cross multiply
    5,050.69x = 10,774.69 × 10,774.69
  4. Step 4: Simplify right side
    5,050.69x = 116,093,890.72
  5. Step 5: Solve for x
    x = 116,093,890.72/5,050.69
  6. Step 6: Final answer
    x = 22,985.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.