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Finding the Third Proportional to 6,216.75 and 15,433.88

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Solution

The third proportional to 6,216.75 and 15,433.88 is: 38,316.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.75 : 15,433.88 = 15,433.88 : x
  2. Step 2: Convert to fraction form
    6,216.75/15,433.88 = 15,433.88/x
  3. Step 3: Cross multiply
    6,216.75x = 15,433.88 × 15,433.88
  4. Step 4: Simplify right side
    6,216.75x = 238,204,497.52
  5. Step 5: Solve for x
    x = 238,204,497.52/6,216.75
  6. Step 6: Final answer
    x = 38,316.56

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.