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Finding the Third Proportional to 9,564.22 and 20,822.09

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Solution

The third proportional to 9,564.22 and 20,822.09 is: 45,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.22 : 20,822.09 = 20,822.09 : x
  2. Step 2: Convert to fraction form
    9,564.22/20,822.09 = 20,822.09/x
  3. Step 3: Cross multiply
    9,564.22x = 20,822.09 × 20,822.09
  4. Step 4: Simplify right side
    9,564.22x = 433,559,588.13
  5. Step 5: Solve for x
    x = 433,559,588.13/9,564.22
  6. Step 6: Final answer
    x = 45,331.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.