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Finding the Third Proportional to 9,441 and 22,331.25

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Solution

The third proportional to 9,441 and 22,331.25 is: 52,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441 : 22,331.25 = 22,331.25 : x
  2. Step 2: Convert to fraction form
    9,441/22,331.25 = 22,331.25/x
  3. Step 3: Cross multiply
    9,441x = 22,331.25 × 22,331.25
  4. Step 4: Simplify right side
    9,441x = 498,684,726.56
  5. Step 5: Solve for x
    x = 498,684,726.56/9,441
  6. Step 6: Final answer
    x = 52,821.18

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.