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Finding the Third Proportional to 10,385.72 and 22,715.44

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Solution

The third proportional to 10,385.72 and 22,715.44 is: 49,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.72 : 22,715.44 = 22,715.44 : x
  2. Step 2: Convert to fraction form
    10,385.72/22,715.44 = 22,715.44/x
  3. Step 3: Cross multiply
    10,385.72x = 22,715.44 × 22,715.44
  4. Step 4: Simplify right side
    10,385.72x = 515,991,100.82
  5. Step 5: Solve for x
    x = 515,991,100.82/10,385.72
  6. Step 6: Final answer
    x = 49,682.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.