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Finding the Third Proportional to 7,255 and 10,940

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Solution

The third proportional to 7,255 and 10,940 is: 16,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255 : 10,940 = 10,940 : x
  2. Step 2: Convert to fraction form
    7,255/10,940 = 10,940/x
  3. Step 3: Cross multiply
    7,255x = 10,940 × 10,940
  4. Step 4: Simplify right side
    7,255x = 119,683,600
  5. Step 5: Solve for x
    x = 119,683,600/7,255
  6. Step 6: Final answer
    x = 16,496.71

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