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Finding the Third Proportional to 8,385.75 and 16,346.25

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Solution

The third proportional to 8,385.75 and 16,346.25 is: 31,863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.75 : 16,346.25 = 16,346.25 : x
  2. Step 2: Convert to fraction form
    8,385.75/16,346.25 = 16,346.25/x
  3. Step 3: Cross multiply
    8,385.75x = 16,346.25 × 16,346.25
  4. Step 4: Simplify right side
    8,385.75x = 267,199,889.06
  5. Step 5: Solve for x
    x = 267,199,889.06/8,385.75
  6. Step 6: Final answer
    x = 31,863.56

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.