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Finding the Third Proportional to 7,817.25 and 18,441.94

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Solution

The third proportional to 7,817.25 and 18,441.94 is: 43,507.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.25 : 18,441.94 = 18,441.94 : x
  2. Step 2: Convert to fraction form
    7,817.25/18,441.94 = 18,441.94/x
  3. Step 3: Cross multiply
    7,817.25x = 18,441.94 × 18,441.94
  4. Step 4: Simplify right side
    7,817.25x = 340,105,058.75
  5. Step 5: Solve for x
    x = 340,105,058.75/7,817.25
  6. Step 6: Final answer
    x = 43,507.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.