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Finding the Third Proportional to 2,945 and 6,370

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Solution

The third proportional to 2,945 and 6,370 is: 13,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945 : 6,370 = 6,370 : x
  2. Step 2: Convert to fraction form
    2,945/6,370 = 6,370/x
  3. Step 3: Cross multiply
    2,945x = 6,370 × 6,370
  4. Step 4: Simplify right side
    2,945x = 40,576,900
  5. Step 5: Solve for x
    x = 40,576,900/2,945
  6. Step 6: Final answer
    x = 13,778.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.