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Finding the Third Proportional to 6,398 and 9,871

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Solution

The third proportional to 6,398 and 9,871 is: 15,229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398 : 9,871 = 9,871 : x
  2. Step 2: Convert to fraction form
    6,398/9,871 = 9,871/x
  3. Step 3: Cross multiply
    6,398x = 9,871 × 9,871
  4. Step 4: Simplify right side
    6,398x = 97,436,641
  5. Step 5: Solve for x
    x = 97,436,641/6,398
  6. Step 6: Final answer
    x = 15,229.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.