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Finding the Third Proportional to 5,186 and 5,942

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Solution

The third proportional to 5,186 and 5,942 is: 6,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186 : 5,942 = 5,942 : x
  2. Step 2: Convert to fraction form
    5,186/5,942 = 5,942/x
  3. Step 3: Cross multiply
    5,186x = 5,942 × 5,942
  4. Step 4: Simplify right side
    5,186x = 35,307,364
  5. Step 5: Solve for x
    x = 35,307,364/5,186
  6. Step 6: Final answer
    x = 6,808.21

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.