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Finding the Third Proportional to 21,629 and 45,805

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Solution

The third proportional to 21,629 and 45,805 is: 97,003.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,629 : 45,805 = 45,805 : x
  2. Step 2: Convert to fraction form
    21,629/45,805 = 45,805/x
  3. Step 3: Cross multiply
    21,629x = 45,805 × 45,805
  4. Step 4: Simplify right side
    21,629x = 2,098,098,025
  5. Step 5: Solve for x
    x = 2,098,098,025/21,629
  6. Step 6: Final answer
    x = 97,003.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.