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Finding the Third Proportional to 6,285 and 14,041.50

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Solution

The third proportional to 6,285 and 14,041.50 is: 31,370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285 : 14,041.50 = 14,041.50 : x
  2. Step 2: Convert to fraction form
    6,285/14,041.50 = 14,041.50/x
  3. Step 3: Cross multiply
    6,285x = 14,041.50 × 14,041.50
  4. Step 4: Simplify right side
    6,285x = 197,163,722.25
  5. Step 5: Solve for x
    x = 197,163,722.25/6,285
  6. Step 6: Final answer
    x = 31,370.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.