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Finding the Third Proportional to 9,251.09 and 22,369.29

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Solution

The third proportional to 9,251.09 and 22,369.29 is: 54,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.09 : 22,369.29 = 22,369.29 : x
  2. Step 2: Convert to fraction form
    9,251.09/22,369.29 = 22,369.29/x
  3. Step 3: Cross multiply
    9,251.09x = 22,369.29 × 22,369.29
  4. Step 4: Simplify right side
    9,251.09x = 500,385,093.16
  5. Step 5: Solve for x
    x = 500,385,093.16/9,251.09
  6. Step 6: Final answer
    x = 54,089.34

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.