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Finding the Third Proportional to 8,013 and 11,953

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Solution

The third proportional to 8,013 and 11,953 is: 17,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013 : 11,953 = 11,953 : x
  2. Step 2: Convert to fraction form
    8,013/11,953 = 11,953/x
  3. Step 3: Cross multiply
    8,013x = 11,953 × 11,953
  4. Step 4: Simplify right side
    8,013x = 142,874,209
  5. Step 5: Solve for x
    x = 142,874,209/8,013
  6. Step 6: Final answer
    x = 17,830.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.