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Finding the Third Proportional to 9,626 and 12,978

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Solution

The third proportional to 9,626 and 12,978 is: 17,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626 : 12,978 = 12,978 : x
  2. Step 2: Convert to fraction form
    9,626/12,978 = 12,978/x
  3. Step 3: Cross multiply
    9,626x = 12,978 × 12,978
  4. Step 4: Simplify right side
    9,626x = 168,428,484
  5. Step 5: Solve for x
    x = 168,428,484/9,626
  6. Step 6: Final answer
    x = 17,497.25

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.