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Finding the Third Proportional to 6,308 and 6,983

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Solution

The third proportional to 6,308 and 6,983 is: 7,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308 : 6,983 = 6,983 : x
  2. Step 2: Convert to fraction form
    6,308/6,983 = 6,983/x
  3. Step 3: Cross multiply
    6,308x = 6,983 × 6,983
  4. Step 4: Simplify right side
    6,308x = 48,762,289
  5. Step 5: Solve for x
    x = 48,762,289/6,308
  6. Step 6: Final answer
    x = 7,730.23

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.