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Finding the Third Proportional to 6,570 and 14,033.25

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Solution

The third proportional to 6,570 and 14,033.25 is: 29,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570 : 14,033.25 = 14,033.25 : x
  2. Step 2: Convert to fraction form
    6,570/14,033.25 = 14,033.25/x
  3. Step 3: Cross multiply
    6,570x = 14,033.25 × 14,033.25
  4. Step 4: Simplify right side
    6,570x = 196,932,105.56
  5. Step 5: Solve for x
    x = 196,932,105.56/6,570
  6. Step 6: Final answer
    x = 29,974.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.