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Finding the Third Proportional to 5,207 and 5,963

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Solution

The third proportional to 5,207 and 5,963 is: 6,828.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207 : 5,963 = 5,963 : x
  2. Step 2: Convert to fraction form
    5,207/5,963 = 5,963/x
  3. Step 3: Cross multiply
    5,207x = 5,963 × 5,963
  4. Step 4: Simplify right side
    5,207x = 35,557,369
  5. Step 5: Solve for x
    x = 35,557,369/5,207
  6. Step 6: Final answer
    x = 6,828.76

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.