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Finding the Third Proportional to 9,059 and 20,062

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Solution

The third proportional to 9,059 and 20,062 is: 44,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,059 : 20,062 = 20,062 : x
  2. Step 2: Convert to fraction form
    9,059/20,062 = 20,062/x
  3. Step 3: Cross multiply
    9,059x = 20,062 × 20,062
  4. Step 4: Simplify right side
    9,059x = 402,483,844
  5. Step 5: Solve for x
    x = 402,483,844/9,059
  6. Step 6: Final answer
    x = 44,429.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.