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Finding the Third Proportional to 5,871 and 13,065

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Solution

The third proportional to 5,871 and 13,065 is: 29,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871 : 13,065 = 13,065 : x
  2. Step 2: Convert to fraction form
    5,871/13,065 = 13,065/x
  3. Step 3: Cross multiply
    5,871x = 13,065 × 13,065
  4. Step 4: Simplify right side
    5,871x = 170,694,225
  5. Step 5: Solve for x
    x = 170,694,225/5,871
  6. Step 6: Final answer
    x = 29,074.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.