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Finding the Third Proportional to 14,032 and 20,048

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Solution

The third proportional to 14,032 and 20,048 is: 28,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032 : 20,048 = 20,048 : x
  2. Step 2: Convert to fraction form
    14,032/20,048 = 20,048/x
  3. Step 3: Cross multiply
    14,032x = 20,048 × 20,048
  4. Step 4: Simplify right side
    14,032x = 401,922,304
  5. Step 5: Solve for x
    x = 401,922,304/14,032
  6. Step 6: Final answer
    x = 28,643.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.