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Finding the Third Proportional to 16,270 and 29,852

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Solution

The third proportional to 16,270 and 29,852 is: 54,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,270 : 29,852 = 29,852 : x
  2. Step 2: Convert to fraction form
    16,270/29,852 = 29,852/x
  3. Step 3: Cross multiply
    16,270x = 29,852 × 29,852
  4. Step 4: Simplify right side
    16,270x = 891,141,904
  5. Step 5: Solve for x
    x = 891,141,904/16,270
  6. Step 6: Final answer
    x = 54,772.09

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.