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Finding the Third Proportional to 21,465 and 44,891

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Solution

The third proportional to 21,465 and 44,891 is: 93,883.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,465 : 44,891 = 44,891 : x
  2. Step 2: Convert to fraction form
    21,465/44,891 = 44,891/x
  3. Step 3: Cross multiply
    21,465x = 44,891 × 44,891
  4. Step 4: Simplify right side
    21,465x = 2,015,201,881
  5. Step 5: Solve for x
    x = 2,015,201,881/21,465
  6. Step 6: Final answer
    x = 93,883.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.