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Finding the Third Proportional to 23,380 and 32,886

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Solution

The third proportional to 23,380 and 32,886 is: 46,257.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,380 : 32,886 = 32,886 : x
  2. Step 2: Convert to fraction form
    23,380/32,886 = 32,886/x
  3. Step 3: Cross multiply
    23,380x = 32,886 × 32,886
  4. Step 4: Simplify right side
    23,380x = 1,081,488,996
  5. Step 5: Solve for x
    x = 1,081,488,996/23,380
  6. Step 6: Final answer
    x = 46,257.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.