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Finding the Third Proportional to 21,653 and 32,393

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Solution

The third proportional to 21,653 and 32,393 is: 48,460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,653 : 32,393 = 32,393 : x
  2. Step 2: Convert to fraction form
    21,653/32,393 = 32,393/x
  3. Step 3: Cross multiply
    21,653x = 32,393 × 32,393
  4. Step 4: Simplify right side
    21,653x = 1,049,306,449
  5. Step 5: Solve for x
    x = 1,049,306,449/21,653
  6. Step 6: Final answer
    x = 48,460.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.