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Finding the Third Proportional to 4,147.73 and 8,955.28

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Solution

The third proportional to 4,147.73 and 8,955.28 is: 19,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.73 : 8,955.28 = 8,955.28 : x
  2. Step 2: Convert to fraction form
    4,147.73/8,955.28 = 8,955.28/x
  3. Step 3: Cross multiply
    4,147.73x = 8,955.28 × 8,955.28
  4. Step 4: Simplify right side
    4,147.73x = 80,197,062.27
  5. Step 5: Solve for x
    x = 80,197,062.27/4,147.73
  6. Step 6: Final answer
    x = 19,335.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.