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Finding the Third Proportional to 6,510 and 6,996

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Solution

The third proportional to 6,510 and 6,996 is: 7,518.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510 : 6,996 = 6,996 : x
  2. Step 2: Convert to fraction form
    6,510/6,996 = 6,996/x
  3. Step 3: Cross multiply
    6,510x = 6,996 × 6,996
  4. Step 4: Simplify right side
    6,510x = 48,944,016
  5. Step 5: Solve for x
    x = 48,944,016/6,510
  6. Step 6: Final answer
    x = 7,518.28

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.