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Finding the Third Proportional to 9,757.97 and 22,804.03

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Solution

The third proportional to 9,757.97 and 22,804.03 is: 53,292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.97 : 22,804.03 = 22,804.03 : x
  2. Step 2: Convert to fraction form
    9,757.97/22,804.03 = 22,804.03/x
  3. Step 3: Cross multiply
    9,757.97x = 22,804.03 × 22,804.03
  4. Step 4: Simplify right side
    9,757.97x = 520,023,841.25
  5. Step 5: Solve for x
    x = 520,023,841.25/9,757.97
  6. Step 6: Final answer
    x = 53,292.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.