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Finding the Third Proportional to 9,061.03 and 13,861.97

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Solution

The third proportional to 9,061.03 and 13,861.97 is: 21,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,061.03 : 13,861.97 = 13,861.97 : x
  2. Step 2: Convert to fraction form
    9,061.03/13,861.97 = 13,861.97/x
  3. Step 3: Cross multiply
    9,061.03x = 13,861.97 × 13,861.97
  4. Step 4: Simplify right side
    9,061.03x = 192,154,177.63
  5. Step 5: Solve for x
    x = 192,154,177.63/9,061.03
  6. Step 6: Final answer
    x = 21,206.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.