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Finding the Third Proportional to 12,722.06 and 18,261.07

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Solution

The third proportional to 12,722.06 and 18,261.07 is: 26,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.06 : 18,261.07 = 18,261.07 : x
  2. Step 2: Convert to fraction form
    12,722.06/18,261.07 = 18,261.07/x
  3. Step 3: Cross multiply
    12,722.06x = 18,261.07 × 18,261.07
  4. Step 4: Simplify right side
    12,722.06x = 333,466,688.96
  5. Step 5: Solve for x
    x = 333,466,688.96/12,722.06
  6. Step 6: Final answer
    x = 26,211.68

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.