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Finding the Third Proportional to 21,144 and 44,643

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Solution

The third proportional to 21,144 and 44,643 is: 94,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144 : 44,643 = 44,643 : x
  2. Step 2: Convert to fraction form
    21,144/44,643 = 44,643/x
  3. Step 3: Cross multiply
    21,144x = 44,643 × 44,643
  4. Step 4: Simplify right side
    21,144x = 1,992,997,449
  5. Step 5: Solve for x
    x = 1,992,997,449/21,144
  6. Step 6: Final answer
    x = 94,258.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.