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Finding the Third Proportional to 8,447.63 and 17,487.56

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Solution

The third proportional to 8,447.63 and 17,487.56 is: 36,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.63 : 17,487.56 = 17,487.56 : x
  2. Step 2: Convert to fraction form
    8,447.63/17,487.56 = 17,487.56/x
  3. Step 3: Cross multiply
    8,447.63x = 17,487.56 × 17,487.56
  4. Step 4: Simplify right side
    8,447.63x = 305,814,842.19
  5. Step 5: Solve for x
    x = 305,814,842.19/8,447.63
  6. Step 6: Final answer
    x = 36,201.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.