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Finding the Third Proportional to 16,729 and 36,871

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Solution

The third proportional to 16,729 and 36,871 is: 81,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,729 : 36,871 = 36,871 : x
  2. Step 2: Convert to fraction form
    16,729/36,871 = 36,871/x
  3. Step 3: Cross multiply
    16,729x = 36,871 × 36,871
  4. Step 4: Simplify right side
    16,729x = 1,359,470,641
  5. Step 5: Solve for x
    x = 1,359,470,641/16,729
  6. Step 6: Final answer
    x = 81,264.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.