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Finding the Third Proportional to 16,182.56 and 21,863.81

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Solution

The third proportional to 16,182.56 and 21,863.81 is: 29,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.56 : 21,863.81 = 21,863.81 : x
  2. Step 2: Convert to fraction form
    16,182.56/21,863.81 = 21,863.81/x
  3. Step 3: Cross multiply
    16,182.56x = 21,863.81 × 21,863.81
  4. Step 4: Simplify right side
    16,182.56x = 478,026,297.04
  5. Step 5: Solve for x
    x = 478,026,297.04/16,182.56
  6. Step 6: Final answer
    x = 29,539.59

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.