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Finding the Third Proportional to 5,052 and 7,670

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Solution

The third proportional to 5,052 and 7,670 is: 11,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052 : 7,670 = 7,670 : x
  2. Step 2: Convert to fraction form
    5,052/7,670 = 7,670/x
  3. Step 3: Cross multiply
    5,052x = 7,670 × 7,670
  4. Step 4: Simplify right side
    5,052x = 58,828,900
  5. Step 5: Solve for x
    x = 58,828,900/5,052
  6. Step 6: Final answer
    x = 11,644.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.