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Finding the Third Proportional to 7,440.75 and 10,955.25

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Solution

The third proportional to 7,440.75 and 10,955.25 is: 16,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440.75 : 10,955.25 = 10,955.25 : x
  2. Step 2: Convert to fraction form
    7,440.75/10,955.25 = 10,955.25/x
  3. Step 3: Cross multiply
    7,440.75x = 10,955.25 × 10,955.25
  4. Step 4: Simplify right side
    7,440.75x = 120,017,502.56
  5. Step 5: Solve for x
    x = 120,017,502.56/7,440.75
  6. Step 6: Final answer
    x = 16,129.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.