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Finding the Third Proportional to 11,791 and 25,270

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Solution

The third proportional to 11,791 and 25,270 is: 54,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791 : 25,270 = 25,270 : x
  2. Step 2: Convert to fraction form
    11,791/25,270 = 25,270/x
  3. Step 3: Cross multiply
    11,791x = 25,270 × 25,270
  4. Step 4: Simplify right side
    11,791x = 638,572,900
  5. Step 5: Solve for x
    x = 638,572,900/11,791
  6. Step 6: Final answer
    x = 54,157.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.