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Finding the Third Proportional to 3,958.88 and 8,501.63

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Solution

The third proportional to 3,958.88 and 8,501.63 is: 18,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.88 : 8,501.63 = 8,501.63 : x
  2. Step 2: Convert to fraction form
    3,958.88/8,501.63 = 8,501.63/x
  3. Step 3: Cross multiply
    3,958.88x = 8,501.63 × 8,501.63
  4. Step 4: Simplify right side
    3,958.88x = 72,277,627.64
  5. Step 5: Solve for x
    x = 72,277,627.64/3,958.88
  6. Step 6: Final answer
    x = 18,257.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.