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Finding the Third Proportional to 11,870 and 25,274

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Solution

The third proportional to 11,870 and 25,274 is: 53,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870 : 25,274 = 25,274 : x
  2. Step 2: Convert to fraction form
    11,870/25,274 = 25,274/x
  3. Step 3: Cross multiply
    11,870x = 25,274 × 25,274
  4. Step 4: Simplify right side
    11,870x = 638,775,076
  5. Step 5: Solve for x
    x = 638,775,076/11,870
  6. Step 6: Final answer
    x = 53,814.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.