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Finding the Third Proportional to 5,083 and 6,981

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Solution

The third proportional to 5,083 and 6,981 is: 9,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083 : 6,981 = 6,981 : x
  2. Step 2: Convert to fraction form
    5,083/6,981 = 6,981/x
  3. Step 3: Cross multiply
    5,083x = 6,981 × 6,981
  4. Step 4: Simplify right side
    5,083x = 48,734,361
  5. Step 5: Solve for x
    x = 48,734,361/5,083
  6. Step 6: Final answer
    x = 9,587.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.