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Finding the Third Proportional to 2,054 and 4,045

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Solution

The third proportional to 2,054 and 4,045 is: 7,965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054 : 4,045 = 4,045 : x
  2. Step 2: Convert to fraction form
    2,054/4,045 = 4,045/x
  3. Step 3: Cross multiply
    2,054x = 4,045 × 4,045
  4. Step 4: Simplify right side
    2,054x = 16,362,025
  5. Step 5: Solve for x
    x = 16,362,025/2,054
  6. Step 6: Final answer
    x = 7,965.93

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.