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Finding the Third Proportional to 23,381 and 32,887

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Solution

The third proportional to 23,381 and 32,887 is: 46,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,381 : 32,887 = 32,887 : x
  2. Step 2: Convert to fraction form
    23,381/32,887 = 32,887/x
  3. Step 3: Cross multiply
    23,381x = 32,887 × 32,887
  4. Step 4: Simplify right side
    23,381x = 1,081,554,769
  5. Step 5: Solve for x
    x = 1,081,554,769/23,381
  6. Step 6: Final answer
    x = 46,257.85

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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.