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Finding the Third Proportional to 8,505 and 13,630.78

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Solution

The third proportional to 8,505 and 13,630.78 is: 21,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505 : 13,630.78 = 13,630.78 : x
  2. Step 2: Convert to fraction form
    8,505/13,630.78 = 13,630.78/x
  3. Step 3: Cross multiply
    8,505x = 13,630.78 × 13,630.78
  4. Step 4: Simplify right side
    8,505x = 185,798,197.49
  5. Step 5: Solve for x
    x = 185,798,197.49/8,505
  6. Step 6: Final answer
    x = 21,845.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.