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Finding the Third Proportional to 11,422 and 12,610

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Solution

The third proportional to 11,422 and 12,610 is: 13,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422 : 12,610 = 12,610 : x
  2. Step 2: Convert to fraction form
    11,422/12,610 = 12,610/x
  3. Step 3: Cross multiply
    11,422x = 12,610 × 12,610
  4. Step 4: Simplify right side
    11,422x = 159,012,100
  5. Step 5: Solve for x
    x = 159,012,100/11,422
  6. Step 6: Final answer
    x = 13,921.56

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.