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Finding the Third Proportional to 24,246 and 51,205.50

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Solution

The third proportional to 24,246 and 51,205.50 is: 108,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,246 : 51,205.50 = 51,205.50 : x
  2. Step 2: Convert to fraction form
    24,246/51,205.50 = 51,205.50/x
  3. Step 3: Cross multiply
    24,246x = 51,205.50 × 51,205.50
  4. Step 4: Simplify right side
    24,246x = 2,622,003,230.25
  5. Step 5: Solve for x
    x = 2,622,003,230.25/24,246
  6. Step 6: Final answer
    x = 108,141.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.