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Finding the Third Proportional to 5,114 and 6,871

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Solution

The third proportional to 5,114 and 6,871 is: 9,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114 : 6,871 = 6,871 : x
  2. Step 2: Convert to fraction form
    5,114/6,871 = 6,871/x
  3. Step 3: Cross multiply
    5,114x = 6,871 × 6,871
  4. Step 4: Simplify right side
    5,114x = 47,210,641
  5. Step 5: Solve for x
    x = 47,210,641/5,114
  6. Step 6: Final answer
    x = 9,231.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.