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Finding the Third Proportional to 15,871 and 34,649

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Solution

The third proportional to 15,871 and 34,649 is: 75,644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871 : 34,649 = 34,649 : x
  2. Step 2: Convert to fraction form
    15,871/34,649 = 34,649/x
  3. Step 3: Cross multiply
    15,871x = 34,649 × 34,649
  4. Step 4: Simplify right side
    15,871x = 1,200,553,201
  5. Step 5: Solve for x
    x = 1,200,553,201/15,871
  6. Step 6: Final answer
    x = 75,644.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.