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Finding the Third Proportional to 21,770 and 44,462

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Solution

The third proportional to 21,770 and 44,462 is: 90,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770 : 44,462 = 44,462 : x
  2. Step 2: Convert to fraction form
    21,770/44,462 = 44,462/x
  3. Step 3: Cross multiply
    21,770x = 44,462 × 44,462
  4. Step 4: Simplify right side
    21,770x = 1,976,869,444
  5. Step 5: Solve for x
    x = 1,976,869,444/21,770
  6. Step 6: Final answer
    x = 90,807.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.