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Finding the Third Proportional to 16,473 and 38,871

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Solution

The third proportional to 16,473 and 38,871 is: 91,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,473 : 38,871 = 38,871 : x
  2. Step 2: Convert to fraction form
    16,473/38,871 = 38,871/x
  3. Step 3: Cross multiply
    16,473x = 38,871 × 38,871
  4. Step 4: Simplify right side
    16,473x = 1,510,954,641
  5. Step 5: Solve for x
    x = 1,510,954,641/16,473
  6. Step 6: Final answer
    x = 91,723.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.