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Finding the Third Proportional to 9,106 and 12,907

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Solution

The third proportional to 9,106 and 12,907 is: 18,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106 : 12,907 = 12,907 : x
  2. Step 2: Convert to fraction form
    9,106/12,907 = 12,907/x
  3. Step 3: Cross multiply
    9,106x = 12,907 × 12,907
  4. Step 4: Simplify right side
    9,106x = 166,590,649
  5. Step 5: Solve for x
    x = 166,590,649/9,106
  6. Step 6: Final answer
    x = 18,294.60

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.