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Finding the Third Proportional to 6,146 and 6,686

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Solution

The third proportional to 6,146 and 6,686 is: 7,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146 : 6,686 = 6,686 : x
  2. Step 2: Convert to fraction form
    6,146/6,686 = 6,686/x
  3. Step 3: Cross multiply
    6,146x = 6,686 × 6,686
  4. Step 4: Simplify right side
    6,146x = 44,702,596
  5. Step 5: Solve for x
    x = 44,702,596/6,146
  6. Step 6: Final answer
    x = 7,273.45

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.