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Finding the Third Proportional to 11,434 and 23,900

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Solution

The third proportional to 11,434 and 23,900 is: 49,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434 : 23,900 = 23,900 : x
  2. Step 2: Convert to fraction form
    11,434/23,900 = 23,900/x
  3. Step 3: Cross multiply
    11,434x = 23,900 × 23,900
  4. Step 4: Simplify right side
    11,434x = 571,210,000
  5. Step 5: Solve for x
    x = 571,210,000/11,434
  6. Step 6: Final answer
    x = 49,957.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.