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Finding the Third Proportional to 24,097 and 52,217

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Solution

The third proportional to 24,097 and 52,217 is: 113,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097 : 52,217 = 52,217 : x
  2. Step 2: Convert to fraction form
    24,097/52,217 = 52,217/x
  3. Step 3: Cross multiply
    24,097x = 52,217 × 52,217
  4. Step 4: Simplify right side
    24,097x = 2,726,615,089
  5. Step 5: Solve for x
    x = 2,726,615,089/24,097
  6. Step 6: Final answer
    x = 113,151.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.