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Finding the Third Proportional to 24,898 and 52,106

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Solution

The third proportional to 24,898 and 52,106 is: 109,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,898 : 52,106 = 52,106 : x
  2. Step 2: Convert to fraction form
    24,898/52,106 = 52,106/x
  3. Step 3: Cross multiply
    24,898x = 52,106 × 52,106
  4. Step 4: Simplify right side
    24,898x = 2,715,035,236
  5. Step 5: Solve for x
    x = 2,715,035,236/24,898
  6. Step 6: Final answer
    x = 109,046.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.