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Finding the Third Proportional to 19,000 and 30,208

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Solution

The third proportional to 19,000 and 30,208 is: 48,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,000 : 30,208 = 30,208 : x
  2. Step 2: Convert to fraction form
    19,000/30,208 = 30,208/x
  3. Step 3: Cross multiply
    19,000x = 30,208 × 30,208
  4. Step 4: Simplify right side
    19,000x = 912,523,264
  5. Step 5: Solve for x
    x = 912,523,264/19,000
  6. Step 6: Final answer
    x = 48,027.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.