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Finding the Third Proportional to 16,742 and 22,956

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Solution

The third proportional to 16,742 and 22,956 is: 31,476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,742 : 22,956 = 22,956 : x
  2. Step 2: Convert to fraction form
    16,742/22,956 = 22,956/x
  3. Step 3: Cross multiply
    16,742x = 22,956 × 22,956
  4. Step 4: Simplify right side
    16,742x = 526,977,936
  5. Step 5: Solve for x
    x = 526,977,936/16,742
  6. Step 6: Final answer
    x = 31,476.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.