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Finding the Third Proportional to 16,881.75 and 35,318.53

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Solution

The third proportional to 16,881.75 and 35,318.53 is: 73,890.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,881.75 : 35,318.53 = 35,318.53 : x
  2. Step 2: Convert to fraction form
    16,881.75/35,318.53 = 35,318.53/x
  3. Step 3: Cross multiply
    16,881.75x = 35,318.53 × 35,318.53
  4. Step 4: Simplify right side
    16,881.75x = 1,247,398,649.66
  5. Step 5: Solve for x
    x = 1,247,398,649.66/16,881.75
  6. Step 6: Final answer
    x = 73,890.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.