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Finding the Third Proportional to 6,965 and 10,063

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Solution

The third proportional to 6,965 and 10,063 is: 14,538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965 : 10,063 = 10,063 : x
  2. Step 2: Convert to fraction form
    6,965/10,063 = 10,063/x
  3. Step 3: Cross multiply
    6,965x = 10,063 × 10,063
  4. Step 4: Simplify right side
    6,965x = 101,263,969
  5. Step 5: Solve for x
    x = 101,263,969/6,965
  6. Step 6: Final answer
    x = 14,538.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.