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Finding the Third Proportional to 8,502 and 9,270

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Solution

The third proportional to 8,502 and 9,270 is: 10,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502 : 9,270 = 9,270 : x
  2. Step 2: Convert to fraction form
    8,502/9,270 = 9,270/x
  3. Step 3: Cross multiply
    8,502x = 9,270 × 9,270
  4. Step 4: Simplify right side
    8,502x = 85,932,900
  5. Step 5: Solve for x
    x = 85,932,900/8,502
  6. Step 6: Final answer
    x = 10,107.37

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.