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Finding the Third Proportional to 7,970 and 9,086

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Solution

The third proportional to 7,970 and 9,086 is: 10,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970 : 9,086 = 9,086 : x
  2. Step 2: Convert to fraction form
    7,970/9,086 = 9,086/x
  3. Step 3: Cross multiply
    7,970x = 9,086 × 9,086
  4. Step 4: Simplify right side
    7,970x = 82,555,396
  5. Step 5: Solve for x
    x = 82,555,396/7,970
  6. Step 6: Final answer
    x = 10,358.27

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.