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Finding the Third Proportional to 5,264 and 7,910

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Solution

The third proportional to 5,264 and 7,910 is: 11,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264 : 7,910 = 7,910 : x
  2. Step 2: Convert to fraction form
    5,264/7,910 = 7,910/x
  3. Step 3: Cross multiply
    5,264x = 7,910 × 7,910
  4. Step 4: Simplify right side
    5,264x = 62,568,100
  5. Step 5: Solve for x
    x = 62,568,100/5,264
  6. Step 6: Final answer
    x = 11,886.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.