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Finding the Third Proportional to 21,316 and 43,676

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Solution

The third proportional to 21,316 and 43,676 is: 89,491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,316 : 43,676 = 43,676 : x
  2. Step 2: Convert to fraction form
    21,316/43,676 = 43,676/x
  3. Step 3: Cross multiply
    21,316x = 43,676 × 43,676
  4. Step 4: Simplify right side
    21,316x = 1,907,592,976
  5. Step 5: Solve for x
    x = 1,907,592,976/21,316
  6. Step 6: Final answer
    x = 89,491.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.