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Finding the Third Proportional to 3,442 and 4,871

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Solution

The third proportional to 3,442 and 4,871 is: 6,893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442 : 4,871 = 4,871 : x
  2. Step 2: Convert to fraction form
    3,442/4,871 = 4,871/x
  3. Step 3: Cross multiply
    3,442x = 4,871 × 4,871
  4. Step 4: Simplify right side
    3,442x = 23,726,641
  5. Step 5: Solve for x
    x = 23,726,641/3,442
  6. Step 6: Final answer
    x = 6,893.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.