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Finding the Third Proportional to 11,708.63 and 17,563.13

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Solution

The third proportional to 11,708.63 and 17,563.13 is: 26,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.63 : 17,563.13 = 17,563.13 : x
  2. Step 2: Convert to fraction form
    11,708.63/17,563.13 = 17,563.13/x
  3. Step 3: Cross multiply
    11,708.63x = 17,563.13 × 17,563.13
  4. Step 4: Simplify right side
    11,708.63x = 308,463,359.77
  5. Step 5: Solve for x
    x = 308,463,359.77/11,708.63
  6. Step 6: Final answer
    x = 26,344.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.