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Finding the Third Proportional to 20,052 and 30,006

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Solution

The third proportional to 20,052 and 30,006 is: 44,901.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,052 : 30,006 = 30,006 : x
  2. Step 2: Convert to fraction form
    20,052/30,006 = 30,006/x
  3. Step 3: Cross multiply
    20,052x = 30,006 × 30,006
  4. Step 4: Simplify right side
    20,052x = 900,360,036
  5. Step 5: Solve for x
    x = 900,360,036/20,052
  6. Step 6: Final answer
    x = 44,901.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.