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Finding the Third Proportional to 6,285 and 10,213.50

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Solution

The third proportional to 6,285 and 10,213.50 is: 16,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285 : 10,213.50 = 10,213.50 : x
  2. Step 2: Convert to fraction form
    6,285/10,213.50 = 10,213.50/x
  3. Step 3: Cross multiply
    6,285x = 10,213.50 × 10,213.50
  4. Step 4: Simplify right side
    6,285x = 104,315,582.25
  5. Step 5: Solve for x
    x = 104,315,582.25/6,285
  6. Step 6: Final answer
    x = 16,597.55

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.