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Finding the Third Proportional to 7,438 and 18,232

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Solution

The third proportional to 7,438 and 18,232 is: 44,690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438 : 18,232 = 18,232 : x
  2. Step 2: Convert to fraction form
    7,438/18,232 = 18,232/x
  3. Step 3: Cross multiply
    7,438x = 18,232 × 18,232
  4. Step 4: Simplify right side
    7,438x = 332,405,824
  5. Step 5: Solve for x
    x = 332,405,824/7,438
  6. Step 6: Final answer
    x = 44,690.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.