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Finding the Third Proportional to 7,224.38 and 15,771.75

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Solution

The third proportional to 7,224.38 and 15,771.75 is: 34,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.38 : 15,771.75 = 15,771.75 : x
  2. Step 2: Convert to fraction form
    7,224.38/15,771.75 = 15,771.75/x
  3. Step 3: Cross multiply
    7,224.38x = 15,771.75 × 15,771.75
  4. Step 4: Simplify right side
    7,224.38x = 248,748,098.06
  5. Step 5: Solve for x
    x = 248,748,098.06/7,224.38
  6. Step 6: Final answer
    x = 34,431.78

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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.