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Finding the Third Proportional to 9,994.88 and 13,333.88

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Solution

The third proportional to 9,994.88 and 13,333.88 is: 17,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.88 : 13,333.88 = 13,333.88 : x
  2. Step 2: Convert to fraction form
    9,994.88/13,333.88 = 13,333.88/x
  3. Step 3: Cross multiply
    9,994.88x = 13,333.88 × 13,333.88
  4. Step 4: Simplify right side
    9,994.88x = 177,792,222.52
  5. Step 5: Solve for x
    x = 177,792,222.52/9,994.88
  6. Step 6: Final answer
    x = 17,788.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.