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Finding the Third Proportional to 17,344.13 and 36,738.56

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Solution

The third proportional to 17,344.13 and 36,738.56 is: 77,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,344.13 : 36,738.56 = 36,738.56 : x
  2. Step 2: Convert to fraction form
    17,344.13/36,738.56 = 36,738.56/x
  3. Step 3: Cross multiply
    17,344.13x = 36,738.56 × 36,738.56
  4. Step 4: Simplify right side
    17,344.13x = 1,349,721,974.57
  5. Step 5: Solve for x
    x = 1,349,721,974.57/17,344.13
  6. Step 6: Final answer
    x = 77,820.12

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.