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Finding the Third Proportional to 4,106 and 5,871

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Solution

The third proportional to 4,106 and 5,871 is: 8,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106 : 5,871 = 5,871 : x
  2. Step 2: Convert to fraction form
    4,106/5,871 = 5,871/x
  3. Step 3: Cross multiply
    4,106x = 5,871 × 5,871
  4. Step 4: Simplify right side
    4,106x = 34,468,641
  5. Step 5: Solve for x
    x = 34,468,641/4,106
  6. Step 6: Final answer
    x = 8,394.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.