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Finding the Third Proportional to 4,971 and 6,967

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Solution

The third proportional to 4,971 and 6,967 is: 9,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971 : 6,967 = 6,967 : x
  2. Step 2: Convert to fraction form
    4,971/6,967 = 6,967/x
  3. Step 3: Cross multiply
    4,971x = 6,967 × 6,967
  4. Step 4: Simplify right side
    4,971x = 48,539,089
  5. Step 5: Solve for x
    x = 48,539,089/4,971
  6. Step 6: Final answer
    x = 9,764.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.