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Finding the Third Proportional to 16,094 and 27,431

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Solution

The third proportional to 16,094 and 27,431 is: 46,754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094 : 27,431 = 27,431 : x
  2. Step 2: Convert to fraction form
    16,094/27,431 = 27,431/x
  3. Step 3: Cross multiply
    16,094x = 27,431 × 27,431
  4. Step 4: Simplify right side
    16,094x = 752,459,761
  5. Step 5: Solve for x
    x = 752,459,761/16,094
  6. Step 6: Final answer
    x = 46,754.05

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.