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Finding the Third Proportional to 9,106 and 12,895

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Solution

The third proportional to 9,106 and 12,895 is: 18,260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106 : 12,895 = 12,895 : x
  2. Step 2: Convert to fraction form
    9,106/12,895 = 12,895/x
  3. Step 3: Cross multiply
    9,106x = 12,895 × 12,895
  4. Step 4: Simplify right side
    9,106x = 166,281,025
  5. Step 5: Solve for x
    x = 166,281,025/9,106
  6. Step 6: Final answer
    x = 18,260.60

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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.