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Finding the Third Proportional to 16,314 and 31,331.50

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Solution

The third proportional to 16,314 and 31,331.50 is: 60,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314 : 31,331.50 = 31,331.50 : x
  2. Step 2: Convert to fraction form
    16,314/31,331.50 = 31,331.50/x
  3. Step 3: Cross multiply
    16,314x = 31,331.50 × 31,331.50
  4. Step 4: Simplify right side
    16,314x = 981,662,892.25
  5. Step 5: Solve for x
    x = 981,662,892.25/16,314
  6. Step 6: Final answer
    x = 60,173.03

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.