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Finding the Third Proportional to 16,832.25 and 35,486.25

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Solution

The third proportional to 16,832.25 and 35,486.25 is: 74,813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,832.25 : 35,486.25 = 35,486.25 : x
  2. Step 2: Convert to fraction form
    16,832.25/35,486.25 = 35,486.25/x
  3. Step 3: Cross multiply
    16,832.25x = 35,486.25 × 35,486.25
  4. Step 4: Simplify right side
    16,832.25x = 1,259,273,939.06
  5. Step 5: Solve for x
    x = 1,259,273,939.06/16,832.25
  6. Step 6: Final answer
    x = 74,813.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.