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Finding the Third Proportional to 17,264.25 and 26,659.69

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Solution

The third proportional to 17,264.25 and 26,659.69 is: 41,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,264.25 : 26,659.69 = 26,659.69 : x
  2. Step 2: Convert to fraction form
    17,264.25/26,659.69 = 26,659.69/x
  3. Step 3: Cross multiply
    17,264.25x = 26,659.69 × 26,659.69
  4. Step 4: Simplify right side
    17,264.25x = 710,738,937.60
  5. Step 5: Solve for x
    x = 710,738,937.60/17,264.25
  6. Step 6: Final answer
    x = 41,168.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.