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Finding the Third Proportional to 10,868 and 16,054

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Solution

The third proportional to 10,868 and 16,054 is: 23,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,868 : 16,054 = 16,054 : x
  2. Step 2: Convert to fraction form
    10,868/16,054 = 16,054/x
  3. Step 3: Cross multiply
    10,868x = 16,054 × 16,054
  4. Step 4: Simplify right side
    10,868x = 257,730,916
  5. Step 5: Solve for x
    x = 257,730,916/10,868
  6. Step 6: Final answer
    x = 23,714.66

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.