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Finding the Third Proportional to 6,001.50 and 14,014.88

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Solution

The third proportional to 6,001.50 and 14,014.88 is: 32,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.50 : 14,014.88 = 14,014.88 : x
  2. Step 2: Convert to fraction form
    6,001.50/14,014.88 = 14,014.88/x
  3. Step 3: Cross multiply
    6,001.50x = 14,014.88 × 14,014.88
  4. Step 4: Simplify right side
    6,001.50x = 196,416,721.27
  5. Step 5: Solve for x
    x = 196,416,721.27/6,001.50
  6. Step 6: Final answer
    x = 32,727.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.