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Finding the Third Proportional to 18,974.25 and 30,213

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Solution

The third proportional to 18,974.25 and 30,213 is: 48,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,974.25 : 30,213 = 30,213 : x
  2. Step 2: Convert to fraction form
    18,974.25/30,213 = 30,213/x
  3. Step 3: Cross multiply
    18,974.25x = 30,213 × 30,213
  4. Step 4: Simplify right side
    18,974.25x = 912,825,369
  5. Step 5: Solve for x
    x = 912,825,369/18,974.25
  6. Step 6: Final answer
    x = 48,108.64

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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.