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Finding the Third Proportional to 17,333 and 24,768.50

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Solution

The third proportional to 17,333 and 24,768.50 is: 35,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,333 : 24,768.50 = 24,768.50 : x
  2. Step 2: Convert to fraction form
    17,333/24,768.50 = 24,768.50/x
  3. Step 3: Cross multiply
    17,333x = 24,768.50 × 24,768.50
  4. Step 4: Simplify right side
    17,333x = 613,478,592.25
  5. Step 5: Solve for x
    x = 613,478,592.25/17,333
  6. Step 6: Final answer
    x = 35,393.68

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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.