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Finding the Third Proportional to 17,412.47 and 26,157.94

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Solution

The third proportional to 17,412.47 and 26,157.94 is: 39,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412.47 : 26,157.94 = 26,157.94 : x
  2. Step 2: Convert to fraction form
    17,412.47/26,157.94 = 26,157.94/x
  3. Step 3: Cross multiply
    17,412.47x = 26,157.94 × 26,157.94
  4. Step 4: Simplify right side
    17,412.47x = 684,237,694.25
  5. Step 5: Solve for x
    x = 684,237,694.25/17,412.47
  6. Step 6: Final answer
    x = 39,295.85

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