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Finding the Third Proportional to 6,518 and 7,946

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Solution

The third proportional to 6,518 and 7,946 is: 9,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518 : 7,946 = 7,946 : x
  2. Step 2: Convert to fraction form
    6,518/7,946 = 7,946/x
  3. Step 3: Cross multiply
    6,518x = 7,946 × 7,946
  4. Step 4: Simplify right side
    6,518x = 63,138,916
  5. Step 5: Solve for x
    x = 63,138,916/6,518
  6. Step 6: Final answer
    x = 9,686.85

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.