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Finding the Third Proportional to 7,107 and 14,670

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Solution

The third proportional to 7,107 and 14,670 is: 30,281.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107 : 14,670 = 14,670 : x
  2. Step 2: Convert to fraction form
    7,107/14,670 = 14,670/x
  3. Step 3: Cross multiply
    7,107x = 14,670 × 14,670
  4. Step 4: Simplify right side
    7,107x = 215,208,900
  5. Step 5: Solve for x
    x = 215,208,900/7,107
  6. Step 6: Final answer
    x = 30,281.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.