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Finding the Third Proportional to 20,232 and 30,048

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Solution

The third proportional to 20,232 and 30,048 is: 44,626.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232 : 30,048 = 30,048 : x
  2. Step 2: Convert to fraction form
    20,232/30,048 = 30,048/x
  3. Step 3: Cross multiply
    20,232x = 30,048 × 30,048
  4. Step 4: Simplify right side
    20,232x = 902,882,304
  5. Step 5: Solve for x
    x = 902,882,304/20,232
  6. Step 6: Final answer
    x = 44,626.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.