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Finding the Third Proportional to 20,452 and 30,004

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Solution

The third proportional to 20,452 and 30,004 is: 44,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452 : 30,004 = 30,004 : x
  2. Step 2: Convert to fraction form
    20,452/30,004 = 30,004/x
  3. Step 3: Cross multiply
    20,452x = 30,004 × 30,004
  4. Step 4: Simplify right side
    20,452x = 900,240,016
  5. Step 5: Solve for x
    x = 900,240,016/20,452
  6. Step 6: Final answer
    x = 44,017.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.