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Finding the Third Proportional to 5,185 and 6,558

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Solution

The third proportional to 5,185 and 6,558 is: 8,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185 : 6,558 = 6,558 : x
  2. Step 2: Convert to fraction form
    5,185/6,558 = 6,558/x
  3. Step 3: Cross multiply
    5,185x = 6,558 × 6,558
  4. Step 4: Simplify right side
    5,185x = 43,007,364
  5. Step 5: Solve for x
    x = 43,007,364/5,185
  6. Step 6: Final answer
    x = 8,294.57

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.