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Finding the Third Proportional to 44,981 and 68,663

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Solution

The third proportional to 44,981 and 68,663 is: 104,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,981 : 68,663 = 68,663 : x
  2. Step 2: Convert to fraction form
    44,981/68,663 = 68,663/x
  3. Step 3: Cross multiply
    44,981x = 68,663 × 68,663
  4. Step 4: Simplify right side
    44,981x = 4,714,607,569
  5. Step 5: Solve for x
    x = 4,714,607,569/44,981
  6. Step 6: Final answer
    x = 104,813.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.