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Finding the Third Proportional to 21,456 and 44,963

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Solution

The third proportional to 21,456 and 44,963 is: 94,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456 : 44,963 = 44,963 : x
  2. Step 2: Convert to fraction form
    21,456/44,963 = 44,963/x
  3. Step 3: Cross multiply
    21,456x = 44,963 × 44,963
  4. Step 4: Simplify right side
    21,456x = 2,021,671,369
  5. Step 5: Solve for x
    x = 2,021,671,369/21,456
  6. Step 6: Final answer
    x = 94,224.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.