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Finding the Third Proportional to 27,338 and 44,641

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Solution

The third proportional to 27,338 and 44,641 is: 72,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,338 : 44,641 = 44,641 : x
  2. Step 2: Convert to fraction form
    27,338/44,641 = 44,641/x
  3. Step 3: Cross multiply
    27,338x = 44,641 × 44,641
  4. Step 4: Simplify right side
    27,338x = 1,992,818,881
  5. Step 5: Solve for x
    x = 1,992,818,881/27,338
  6. Step 6: Final answer
    x = 72,895.56

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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.