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Finding the Third Proportional to 10,954 and 23,758

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Solution

The third proportional to 10,954 and 23,758 is: 51,528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954 : 23,758 = 23,758 : x
  2. Step 2: Convert to fraction form
    10,954/23,758 = 23,758/x
  3. Step 3: Cross multiply
    10,954x = 23,758 × 23,758
  4. Step 4: Simplify right side
    10,954x = 564,442,564
  5. Step 5: Solve for x
    x = 564,442,564/10,954
  6. Step 6: Final answer
    x = 51,528.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.