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Finding the Third Proportional to 8,040 and 9,255

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Solution

The third proportional to 8,040 and 9,255 is: 10,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,040 : 9,255 = 9,255 : x
  2. Step 2: Convert to fraction form
    8,040/9,255 = 9,255/x
  3. Step 3: Cross multiply
    8,040x = 9,255 × 9,255
  4. Step 4: Simplify right side
    8,040x = 85,655,025
  5. Step 5: Solve for x
    x = 85,655,025/8,040
  6. Step 6: Final answer
    x = 10,653.61

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.