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Finding the Third Proportional to 23,657 and 32,893

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Solution

The third proportional to 23,657 and 32,893 is: 45,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657 : 32,893 = 32,893 : x
  2. Step 2: Convert to fraction form
    23,657/32,893 = 32,893/x
  3. Step 3: Cross multiply
    23,657x = 32,893 × 32,893
  4. Step 4: Simplify right side
    23,657x = 1,081,949,449
  5. Step 5: Solve for x
    x = 1,081,949,449/23,657
  6. Step 6: Final answer
    x = 45,734.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.