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Finding the Third Proportional to 9,994 and 11,398

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Solution

The third proportional to 9,994 and 11,398 is: 12,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994 : 11,398 = 11,398 : x
  2. Step 2: Convert to fraction form
    9,994/11,398 = 11,398/x
  3. Step 3: Cross multiply
    9,994x = 11,398 × 11,398
  4. Step 4: Simplify right side
    9,994x = 129,914,404
  5. Step 5: Solve for x
    x = 129,914,404/9,994
  6. Step 6: Final answer
    x = 12,999.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.