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Finding the Third Proportional to 8,029.50 and 17,430

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Solution

The third proportional to 8,029.50 and 17,430 is: 37,836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.50 : 17,430 = 17,430 : x
  2. Step 2: Convert to fraction form
    8,029.50/17,430 = 17,430/x
  3. Step 3: Cross multiply
    8,029.50x = 17,430 × 17,430
  4. Step 4: Simplify right side
    8,029.50x = 303,804,900
  5. Step 5: Solve for x
    x = 303,804,900/8,029.50
  6. Step 6: Final answer
    x = 37,836.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.