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Finding the Third Proportional to 6,712 and 7,252

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Solution

The third proportional to 6,712 and 7,252 is: 7,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712 : 7,252 = 7,252 : x
  2. Step 2: Convert to fraction form
    6,712/7,252 = 7,252/x
  3. Step 3: Cross multiply
    6,712x = 7,252 × 7,252
  4. Step 4: Simplify right side
    6,712x = 52,591,504
  5. Step 5: Solve for x
    x = 52,591,504/6,712
  6. Step 6: Final answer
    x = 7,835.44

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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.