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Finding the Third Proportional to 10,898 and 23,873

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Solution

The third proportional to 10,898 and 23,873 is: 52,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898 : 23,873 = 23,873 : x
  2. Step 2: Convert to fraction form
    10,898/23,873 = 23,873/x
  3. Step 3: Cross multiply
    10,898x = 23,873 × 23,873
  4. Step 4: Simplify right side
    10,898x = 569,920,129
  5. Step 5: Solve for x
    x = 569,920,129/10,898
  6. Step 6: Final answer
    x = 52,295.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.