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Finding the Third Proportional to 24,211 and 53,174

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Solution

The third proportional to 24,211 and 53,174 is: 116,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,211 : 53,174 = 53,174 : x
  2. Step 2: Convert to fraction form
    24,211/53,174 = 53,174/x
  3. Step 3: Cross multiply
    24,211x = 53,174 × 53,174
  4. Step 4: Simplify right side
    24,211x = 2,827,474,276
  5. Step 5: Solve for x
    x = 2,827,474,276/24,211
  6. Step 6: Final answer
    x = 116,784.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.