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Finding the Third Proportional to 6,994 and 15,086

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Solution

The third proportional to 6,994 and 15,086 is: 32,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994 : 15,086 = 15,086 : x
  2. Step 2: Convert to fraction form
    6,994/15,086 = 15,086/x
  3. Step 3: Cross multiply
    6,994x = 15,086 × 15,086
  4. Step 4: Simplify right side
    6,994x = 227,587,396
  5. Step 5: Solve for x
    x = 227,587,396/6,994
  6. Step 6: Final answer
    x = 32,540.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.