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Finding the Third Proportional to 10,774.69 and 15,751.97

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Solution

The third proportional to 10,774.69 and 15,751.97 is: 23,028.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.69 : 15,751.97 = 15,751.97 : x
  2. Step 2: Convert to fraction form
    10,774.69/15,751.97 = 15,751.97/x
  3. Step 3: Cross multiply
    10,774.69x = 15,751.97 × 15,751.97
  4. Step 4: Simplify right side
    10,774.69x = 248,124,519.50
  5. Step 5: Solve for x
    x = 248,124,519.50/10,774.69
  6. Step 6: Final answer
    x = 23,028.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.