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Finding the Third Proportional to 20,024 and 30,648

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Solution

The third proportional to 20,024 and 30,648 is: 46,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,024 : 30,648 = 30,648 : x
  2. Step 2: Convert to fraction form
    20,024/30,648 = 30,648/x
  3. Step 3: Cross multiply
    20,024x = 30,648 × 30,648
  4. Step 4: Simplify right side
    20,024x = 939,299,904
  5. Step 5: Solve for x
    x = 939,299,904/20,024
  6. Step 6: Final answer
    x = 46,908.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.