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Finding the Third Proportional to 27,339 and 44,643

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Solution

The third proportional to 27,339 and 44,643 is: 72,899.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,339 : 44,643 = 44,643 : x
  2. Step 2: Convert to fraction form
    27,339/44,643 = 44,643/x
  3. Step 3: Cross multiply
    27,339x = 44,643 × 44,643
  4. Step 4: Simplify right side
    27,339x = 1,992,997,449
  5. Step 5: Solve for x
    x = 1,992,997,449/27,339
  6. Step 6: Final answer
    x = 72,899.43

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.