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Finding the Third Proportional to 9,213.12 and 13,895.93

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Solution

The third proportional to 9,213.12 and 13,895.93 is: 20,958.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.12 : 13,895.93 = 13,895.93 : x
  2. Step 2: Convert to fraction form
    9,213.12/13,895.93 = 13,895.93/x
  3. Step 3: Cross multiply
    9,213.12x = 13,895.93 × 13,895.93
  4. Step 4: Simplify right side
    9,213.12x = 193,096,861.88
  5. Step 5: Solve for x
    x = 193,096,861.88/9,213.12
  6. Step 6: Final answer
    x = 20,958.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.