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Finding the Third Proportional to 6,543 and 9,099

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Solution

The third proportional to 6,543 and 9,099 is: 12,653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543 : 9,099 = 9,099 : x
  2. Step 2: Convert to fraction form
    6,543/9,099 = 9,099/x
  3. Step 3: Cross multiply
    6,543x = 9,099 × 9,099
  4. Step 4: Simplify right side
    6,543x = 82,791,801
  5. Step 5: Solve for x
    x = 82,791,801/6,543
  6. Step 6: Final answer
    x = 12,653.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.