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Finding the Third Proportional to 2,005 and 2,963

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Solution

The third proportional to 2,005 and 2,963 is: 4,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005 : 2,963 = 2,963 : x
  2. Step 2: Convert to fraction form
    2,005/2,963 = 2,963/x
  3. Step 3: Cross multiply
    2,005x = 2,963 × 2,963
  4. Step 4: Simplify right side
    2,005x = 8,779,369
  5. Step 5: Solve for x
    x = 8,779,369/2,005
  6. Step 6: Final answer
    x = 4,378.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.