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Finding the Third Proportional to 5,029 and 6,718

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Solution

The third proportional to 5,029 and 6,718 is: 8,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029 : 6,718 = 6,718 : x
  2. Step 2: Convert to fraction form
    5,029/6,718 = 6,718/x
  3. Step 3: Cross multiply
    5,029x = 6,718 × 6,718
  4. Step 4: Simplify right side
    5,029x = 45,131,524
  5. Step 5: Solve for x
    x = 45,131,524/5,029
  6. Step 6: Final answer
    x = 8,974.25

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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.