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Finding the Third Proportional to 10,739.25 and 17,708.63

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Solution

The third proportional to 10,739.25 and 17,708.63 is: 29,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739.25 : 17,708.63 = 17,708.63 : x
  2. Step 2: Convert to fraction form
    10,739.25/17,708.63 = 17,708.63/x
  3. Step 3: Cross multiply
    10,739.25x = 17,708.63 × 17,708.63
  4. Step 4: Simplify right side
    10,739.25x = 313,595,399.39
  5. Step 5: Solve for x
    x = 313,595,399.39/10,739.25
  6. Step 6: Final answer
    x = 29,200.87

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.