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Finding the Third Proportional to 6,956.72 and 16,405.03

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Solution

The third proportional to 6,956.72 and 16,405.03 is: 38,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.72 : 16,405.03 = 16,405.03 : x
  2. Step 2: Convert to fraction form
    6,956.72/16,405.03 = 16,405.03/x
  3. Step 3: Cross multiply
    6,956.72x = 16,405.03 × 16,405.03
  4. Step 4: Simplify right side
    6,956.72x = 269,125,050.31
  5. Step 5: Solve for x
    x = 269,125,050.31/6,956.72
  6. Step 6: Final answer
    x = 38,685.63

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.