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Finding the Third Proportional to 18,944 and 30,000

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Solution

The third proportional to 18,944 and 30,000 is: 47,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,944 : 30,000 = 30,000 : x
  2. Step 2: Convert to fraction form
    18,944/30,000 = 30,000/x
  3. Step 3: Cross multiply
    18,944x = 30,000 × 30,000
  4. Step 4: Simplify right side
    18,944x = 900,000,000
  5. Step 5: Solve for x
    x = 900,000,000/18,944
  6. Step 6: Final answer
    x = 47,508.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.