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Finding the Third Proportional to 23,246 and 33,518

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Solution

The third proportional to 23,246 and 33,518 is: 48,329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,246 : 33,518 = 33,518 : x
  2. Step 2: Convert to fraction form
    23,246/33,518 = 33,518/x
  3. Step 3: Cross multiply
    23,246x = 33,518 × 33,518
  4. Step 4: Simplify right side
    23,246x = 1,123,456,324
  5. Step 5: Solve for x
    x = 1,123,456,324/23,246
  6. Step 6: Final answer
    x = 48,329.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.