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Finding the Third Proportional to 10,588.22 and 23,021.09

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Solution

The third proportional to 10,588.22 and 23,021.09 is: 50,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.22 : 23,021.09 = 23,021.09 : x
  2. Step 2: Convert to fraction form
    10,588.22/23,021.09 = 23,021.09/x
  3. Step 3: Cross multiply
    10,588.22x = 23,021.09 × 23,021.09
  4. Step 4: Simplify right side
    10,588.22x = 529,970,397.74
  5. Step 5: Solve for x
    x = 529,970,397.74/10,588.22
  6. Step 6: Final answer
    x = 50,052.84

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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.