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Finding the Third Proportional to 10,021.92 and 21,751.59

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Solution

The third proportional to 10,021.92 and 21,751.59 is: 47,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.92 : 21,751.59 = 21,751.59 : x
  2. Step 2: Convert to fraction form
    10,021.92/21,751.59 = 21,751.59/x
  3. Step 3: Cross multiply
    10,021.92x = 21,751.59 × 21,751.59
  4. Step 4: Simplify right side
    10,021.92x = 473,131,830.67
  5. Step 5: Solve for x
    x = 473,131,830.67/10,021.92
  6. Step 6: Final answer
    x = 47,209.69

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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.