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Finding the Third Proportional to 5,186 and 7,687

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Solution

The third proportional to 5,186 and 7,687 is: 11,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186 : 7,687 = 7,687 : x
  2. Step 2: Convert to fraction form
    5,186/7,687 = 7,687/x
  3. Step 3: Cross multiply
    5,186x = 7,687 × 7,687
  4. Step 4: Simplify right side
    5,186x = 59,089,969
  5. Step 5: Solve for x
    x = 59,089,969/5,186
  6. Step 6: Final answer
    x = 11,394.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.