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Finding the Third Proportional to 7,510 and 8,314

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Solution

The third proportional to 7,510 and 8,314 is: 9,204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510 : 8,314 = 8,314 : x
  2. Step 2: Convert to fraction form
    7,510/8,314 = 8,314/x
  3. Step 3: Cross multiply
    7,510x = 8,314 × 8,314
  4. Step 4: Simplify right side
    7,510x = 69,122,596
  5. Step 5: Solve for x
    x = 69,122,596/7,510
  6. Step 6: Final answer
    x = 9,204.07

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.