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Finding the Third Proportional to 8,246.53 and 19,447.31

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Solution

The third proportional to 8,246.53 and 19,447.31 is: 45,861.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.53 : 19,447.31 = 19,447.31 : x
  2. Step 2: Convert to fraction form
    8,246.53/19,447.31 = 19,447.31/x
  3. Step 3: Cross multiply
    8,246.53x = 19,447.31 × 19,447.31
  4. Step 4: Simplify right side
    8,246.53x = 378,197,963.47
  5. Step 5: Solve for x
    x = 378,197,963.47/8,246.53
  6. Step 6: Final answer
    x = 45,861.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.