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Finding the Third Proportional to 21,266 and 44,833

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Solution

The third proportional to 21,266 and 44,833 is: 94,516.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,266 : 44,833 = 44,833 : x
  2. Step 2: Convert to fraction form
    21,266/44,833 = 44,833/x
  3. Step 3: Cross multiply
    21,266x = 44,833 × 44,833
  4. Step 4: Simplify right side
    21,266x = 2,009,997,889
  5. Step 5: Solve for x
    x = 2,009,997,889/21,266
  6. Step 6: Final answer
    x = 94,516.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.