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Finding the Third Proportional to 8,242.75 and 18,328.25

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Solution

The third proportional to 8,242.75 and 18,328.25 is: 40,753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.75 : 18,328.25 = 18,328.25 : x
  2. Step 2: Convert to fraction form
    8,242.75/18,328.25 = 18,328.25/x
  3. Step 3: Cross multiply
    8,242.75x = 18,328.25 × 18,328.25
  4. Step 4: Simplify right side
    8,242.75x = 335,924,748.06
  5. Step 5: Solve for x
    x = 335,924,748.06/8,242.75
  6. Step 6: Final answer
    x = 40,753.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.