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Finding the Third Proportional to 21,242 and 31,871

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Solution

The third proportional to 21,242 and 31,871 is: 47,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,242 : 31,871 = 31,871 : x
  2. Step 2: Convert to fraction form
    21,242/31,871 = 31,871/x
  3. Step 3: Cross multiply
    21,242x = 31,871 × 31,871
  4. Step 4: Simplify right side
    21,242x = 1,015,760,641
  5. Step 5: Solve for x
    x = 1,015,760,641/21,242
  6. Step 6: Final answer
    x = 47,818.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.