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Finding the Third Proportional to 10,930.78 and 23,417.44

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Solution

The third proportional to 10,930.78 and 23,417.44 is: 50,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.78 : 23,417.44 = 23,417.44 : x
  2. Step 2: Convert to fraction form
    10,930.78/23,417.44 = 23,417.44/x
  3. Step 3: Cross multiply
    10,930.78x = 23,417.44 × 23,417.44
  4. Step 4: Simplify right side
    10,930.78x = 548,376,379.07
  5. Step 5: Solve for x
    x = 548,376,379.07/10,930.78
  6. Step 6: Final answer
    x = 50,168.09

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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.