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Finding the Third Proportional to 9,861.75 and 13,815.56

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Solution

The third proportional to 9,861.75 and 13,815.56 is: 19,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.75 : 13,815.56 = 13,815.56 : x
  2. Step 2: Convert to fraction form
    9,861.75/13,815.56 = 13,815.56/x
  3. Step 3: Cross multiply
    9,861.75x = 13,815.56 × 13,815.56
  4. Step 4: Simplify right side
    9,861.75x = 190,869,767.19
  5. Step 5: Solve for x
    x = 190,869,767.19/9,861.75
  6. Step 6: Final answer
    x = 19,354.55

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.