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Finding the Third Proportional to 6,434 and 6,978

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Solution

The third proportional to 6,434 and 6,978 is: 7,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434 : 6,978 = 6,978 : x
  2. Step 2: Convert to fraction form
    6,434/6,978 = 6,978/x
  3. Step 3: Cross multiply
    6,434x = 6,978 × 6,978
  4. Step 4: Simplify right side
    6,434x = 48,692,484
  5. Step 5: Solve for x
    x = 48,692,484/6,434
  6. Step 6: Final answer
    x = 7,568.00

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.