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Finding the Third Proportional to 19,600 and 29,048

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Solution

The third proportional to 19,600 and 29,048 is: 43,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,600 : 29,048 = 29,048 : x
  2. Step 2: Convert to fraction form
    19,600/29,048 = 29,048/x
  3. Step 3: Cross multiply
    19,600x = 29,048 × 29,048
  4. Step 4: Simplify right side
    19,600x = 843,786,304
  5. Step 5: Solve for x
    x = 843,786,304/19,600
  6. Step 6: Final answer
    x = 43,050.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.