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Finding the Third Proportional to 16,738.13 and 25,917.56

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Solution

The third proportional to 16,738.13 and 25,917.56 is: 40,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738.13 : 25,917.56 = 25,917.56 : x
  2. Step 2: Convert to fraction form
    16,738.13/25,917.56 = 25,917.56/x
  3. Step 3: Cross multiply
    16,738.13x = 25,917.56 × 25,917.56
  4. Step 4: Simplify right side
    16,738.13x = 671,720,045.94
  5. Step 5: Solve for x
    x = 671,720,045.94/16,738.13
  6. Step 6: Final answer
    x = 40,131.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.