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Finding the Third Proportional to 2,140 and 4,907

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Solution

The third proportional to 2,140 and 4,907 is: 11,251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140 : 4,907 = 4,907 : x
  2. Step 2: Convert to fraction form
    2,140/4,907 = 4,907/x
  3. Step 3: Cross multiply
    2,140x = 4,907 × 4,907
  4. Step 4: Simplify right side
    2,140x = 24,078,649
  5. Step 5: Solve for x
    x = 24,078,649/2,140
  6. Step 6: Final answer
    x = 11,251.71

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.