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Finding the Third Proportional to 7,643 and 8,264

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Solution

The third proportional to 7,643 and 8,264 is: 8,935.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643 : 8,264 = 8,264 : x
  2. Step 2: Convert to fraction form
    7,643/8,264 = 8,264/x
  3. Step 3: Cross multiply
    7,643x = 8,264 × 8,264
  4. Step 4: Simplify right side
    7,643x = 68,293,696
  5. Step 5: Solve for x
    x = 68,293,696/7,643
  6. Step 6: Final answer
    x = 8,935.46

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.