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Finding the Third Proportional to 10,336 and 22,670

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Solution

The third proportional to 10,336 and 22,670 is: 49,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,336 : 22,670 = 22,670 : x
  2. Step 2: Convert to fraction form
    10,336/22,670 = 22,670/x
  3. Step 3: Cross multiply
    10,336x = 22,670 × 22,670
  4. Step 4: Simplify right side
    10,336x = 513,928,900
  5. Step 5: Solve for x
    x = 513,928,900/10,336
  6. Step 6: Final answer
    x = 49,722.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.