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Finding the Third Proportional to 10,440.75 and 16,191.56

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Solution

The third proportional to 10,440.75 and 16,191.56 is: 25,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.75 : 16,191.56 = 16,191.56 : x
  2. Step 2: Convert to fraction form
    10,440.75/16,191.56 = 16,191.56/x
  3. Step 3: Cross multiply
    10,440.75x = 16,191.56 × 16,191.56
  4. Step 4: Simplify right side
    10,440.75x = 262,166,696.19
  5. Step 5: Solve for x
    x = 262,166,696.19/10,440.75
  6. Step 6: Final answer
    x = 25,109.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.