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Finding the Third Proportional to 21,884 and 45,958

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Solution

The third proportional to 21,884 and 45,958 is: 96,515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884 : 45,958 = 45,958 : x
  2. Step 2: Convert to fraction form
    21,884/45,958 = 45,958/x
  3. Step 3: Cross multiply
    21,884x = 45,958 × 45,958
  4. Step 4: Simplify right side
    21,884x = 2,112,137,764
  5. Step 5: Solve for x
    x = 2,112,137,764/21,884
  6. Step 6: Final answer
    x = 96,515.16

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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.