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Finding the Third Proportional to 10,331.25 and 22,572.75

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Solution

The third proportional to 10,331.25 and 22,572.75 is: 49,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331.25 : 22,572.75 = 22,572.75 : x
  2. Step 2: Convert to fraction form
    10,331.25/22,572.75 = 22,572.75/x
  3. Step 3: Cross multiply
    10,331.25x = 22,572.75 × 22,572.75
  4. Step 4: Simplify right side
    10,331.25x = 509,529,042.56
  5. Step 5: Solve for x
    x = 509,529,042.56/10,331.25
  6. Step 6: Final answer
    x = 49,319.21

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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.