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Finding the Third Proportional to 4,842 and 7,670

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Solution

The third proportional to 4,842 and 7,670 is: 12,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842 : 7,670 = 7,670 : x
  2. Step 2: Convert to fraction form
    4,842/7,670 = 7,670/x
  3. Step 3: Cross multiply
    4,842x = 7,670 × 7,670
  4. Step 4: Simplify right side
    4,842x = 58,828,900
  5. Step 5: Solve for x
    x = 58,828,900/4,842
  6. Step 6: Final answer
    x = 12,149.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.