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Finding the Third Proportional to 6,994.97 and 15,107.06

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Solution

The third proportional to 6,994.97 and 15,107.06 is: 32,626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.97 : 15,107.06 = 15,107.06 : x
  2. Step 2: Convert to fraction form
    6,994.97/15,107.06 = 15,107.06/x
  3. Step 3: Cross multiply
    6,994.97x = 15,107.06 × 15,107.06
  4. Step 4: Simplify right side
    6,994.97x = 228,223,337.38
  5. Step 5: Solve for x
    x = 228,223,337.38/6,994.97
  6. Step 6: Final answer
    x = 32,626.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.