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Finding the Third Proportional to 9,562.43 and 14,843.25

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Solution

The third proportional to 9,562.43 and 14,843.25 is: 23,040.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.43 : 14,843.25 = 14,843.25 : x
  2. Step 2: Convert to fraction form
    9,562.43/14,843.25 = 14,843.25/x
  3. Step 3: Cross multiply
    9,562.43x = 14,843.25 × 14,843.25
  4. Step 4: Simplify right side
    9,562.43x = 220,322,070.56
  5. Step 5: Solve for x
    x = 220,322,070.56/9,562.43
  6. Step 6: Final answer
    x = 23,040.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.