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Finding the Third Proportional to 5,698 and 7,670

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Solution

The third proportional to 5,698 and 7,670 is: 10,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698 : 7,670 = 7,670 : x
  2. Step 2: Convert to fraction form
    5,698/7,670 = 7,670/x
  3. Step 3: Cross multiply
    5,698x = 7,670 × 7,670
  4. Step 4: Simplify right side
    5,698x = 58,828,900
  5. Step 5: Solve for x
    x = 58,828,900/5,698
  6. Step 6: Final answer
    x = 10,324.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.