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Finding the Third Proportional to 10,612.50 and 23,067.88

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Solution

The third proportional to 10,612.50 and 23,067.88 is: 50,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.50 : 23,067.88 = 23,067.88 : x
  2. Step 2: Convert to fraction form
    10,612.50/23,067.88 = 23,067.88/x
  3. Step 3: Cross multiply
    10,612.50x = 23,067.88 × 23,067.88
  4. Step 4: Simplify right side
    10,612.50x = 532,126,857.02
  5. Step 5: Solve for x
    x = 532,126,857.02/10,612.50
  6. Step 6: Final answer
    x = 50,141.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.