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Finding the Third Proportional to 12,662 and 18,522

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Solution

The third proportional to 12,662 and 18,522 is: 27,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662 : 18,522 = 18,522 : x
  2. Step 2: Convert to fraction form
    12,662/18,522 = 18,522/x
  3. Step 3: Cross multiply
    12,662x = 18,522 × 18,522
  4. Step 4: Simplify right side
    12,662x = 343,064,484
  5. Step 5: Solve for x
    x = 343,064,484/12,662
  6. Step 6: Final answer
    x = 27,094.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.