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Finding the Third Proportional to 8,970 and 9,994

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Solution

The third proportional to 8,970 and 9,994 is: 11,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970 : 9,994 = 9,994 : x
  2. Step 2: Convert to fraction form
    8,970/9,994 = 9,994/x
  3. Step 3: Cross multiply
    8,970x = 9,994 × 9,994
  4. Step 4: Simplify right side
    8,970x = 99,880,036
  5. Step 5: Solve for x
    x = 99,880,036/8,970
  6. Step 6: Final answer
    x = 11,134.90

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.