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Finding the Third Proportional to 24,818 and 54,097

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Solution

The third proportional to 24,818 and 54,097 is: 117,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,818 : 54,097 = 54,097 : x
  2. Step 2: Convert to fraction form
    24,818/54,097 = 54,097/x
  3. Step 3: Cross multiply
    24,818x = 54,097 × 54,097
  4. Step 4: Simplify right side
    24,818x = 2,926,485,409
  5. Step 5: Solve for x
    x = 2,926,485,409/24,818
  6. Step 6: Final answer
    x = 117,917.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.