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Finding the Third Proportional to 5,202 and 6,994

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Solution

The third proportional to 5,202 and 6,994 is: 9,403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202 : 6,994 = 6,994 : x
  2. Step 2: Convert to fraction form
    5,202/6,994 = 6,994/x
  3. Step 3: Cross multiply
    5,202x = 6,994 × 6,994
  4. Step 4: Simplify right side
    5,202x = 48,916,036
  5. Step 5: Solve for x
    x = 48,916,036/5,202
  6. Step 6: Final answer
    x = 9,403.31

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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.