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Finding the Third Proportional to 10,556.26 and 22,937.87

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Solution

The third proportional to 10,556.26 and 22,937.87 is: 49,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.26 : 22,937.87 = 22,937.87 : x
  2. Step 2: Convert to fraction form
    10,556.26/22,937.87 = 22,937.87/x
  3. Step 3: Cross multiply
    10,556.26x = 22,937.87 × 22,937.87
  4. Step 4: Simplify right side
    10,556.26x = 526,145,930.31
  5. Step 5: Solve for x
    x = 526,145,930.31/10,556.26
  6. Step 6: Final answer
    x = 49,842.07

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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.