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Finding the Third Proportional to 18,816 and 40,871

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Solution

The third proportional to 18,816 and 40,871 is: 88,777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,816 : 40,871 = 40,871 : x
  2. Step 2: Convert to fraction form
    18,816/40,871 = 40,871/x
  3. Step 3: Cross multiply
    18,816x = 40,871 × 40,871
  4. Step 4: Simplify right side
    18,816x = 1,670,438,641
  5. Step 5: Solve for x
    x = 1,670,438,641/18,816
  6. Step 6: Final answer
    x = 88,777.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.