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Finding the Third Proportional to 6,303.75 and 9,481.88

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Solution

The third proportional to 6,303.75 and 9,481.88 is: 14,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.75 : 9,481.88 = 9,481.88 : x
  2. Step 2: Convert to fraction form
    6,303.75/9,481.88 = 9,481.88/x
  3. Step 3: Cross multiply
    6,303.75x = 9,481.88 × 9,481.88
  4. Step 4: Simplify right side
    6,303.75x = 89,905,953.52
  5. Step 5: Solve for x
    x = 89,905,953.52/6,303.75
  6. Step 6: Final answer
    x = 14,262.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.