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Finding the Third Proportional to 8,908.31 and 19,229.06

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Solution

The third proportional to 8,908.31 and 19,229.06 is: 41,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,908.31 : 19,229.06 = 19,229.06 : x
  2. Step 2: Convert to fraction form
    8,908.31/19,229.06 = 19,229.06/x
  3. Step 3: Cross multiply
    8,908.31x = 19,229.06 × 19,229.06
  4. Step 4: Simplify right side
    8,908.31x = 369,756,844.63
  5. Step 5: Solve for x
    x = 369,756,844.63/8,908.31
  6. Step 6: Final answer
    x = 41,506.95

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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.