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Finding the Third Proportional to 5,810 and 6,994

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Solution

The third proportional to 5,810 and 6,994 is: 8,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810 : 6,994 = 6,994 : x
  2. Step 2: Convert to fraction form
    5,810/6,994 = 6,994/x
  3. Step 3: Cross multiply
    5,810x = 6,994 × 6,994
  4. Step 4: Simplify right side
    5,810x = 48,916,036
  5. Step 5: Solve for x
    x = 48,916,036/5,810
  6. Step 6: Final answer
    x = 8,419.28

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.