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Finding the Third Proportional to 10,790.44 and 23,079.66

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Solution

The third proportional to 10,790.44 and 23,079.66 is: 49,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,790.44 : 23,079.66 = 23,079.66 : x
  2. Step 2: Convert to fraction form
    10,790.44/23,079.66 = 23,079.66/x
  3. Step 3: Cross multiply
    10,790.44x = 23,079.66 × 23,079.66
  4. Step 4: Simplify right side
    10,790.44x = 532,670,532.62
  5. Step 5: Solve for x
    x = 532,670,532.62/10,790.44
  6. Step 6: Final answer
    x = 49,365.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.