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Finding the Third Proportional to 2,934 and 6,570

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Solution

The third proportional to 2,934 and 6,570 is: 14,711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934 : 6,570 = 6,570 : x
  2. Step 2: Convert to fraction form
    2,934/6,570 = 6,570/x
  3. Step 3: Cross multiply
    2,934x = 6,570 × 6,570
  4. Step 4: Simplify right side
    2,934x = 43,164,900
  5. Step 5: Solve for x
    x = 43,164,900/2,934
  6. Step 6: Final answer
    x = 14,711.96

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.