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Finding the Third Proportional to 9,997.88 and 13,416.19

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Solution

The third proportional to 9,997.88 and 13,416.19 is: 18,003.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.88 : 13,416.19 = 13,416.19 : x
  2. Step 2: Convert to fraction form
    9,997.88/13,416.19 = 13,416.19/x
  3. Step 3: Cross multiply
    9,997.88x = 13,416.19 × 13,416.19
  4. Step 4: Simplify right side
    9,997.88x = 179,994,087.04
  5. Step 5: Solve for x
    x = 179,994,087.04/9,997.88
  6. Step 6: Final answer
    x = 18,003.23

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1.5x scale

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.