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Finding the Third Proportional to 14,833 and 35,013

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Solution

The third proportional to 14,833 and 35,013 is: 82,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833 : 35,013 = 35,013 : x
  2. Step 2: Convert to fraction form
    14,833/35,013 = 35,013/x
  3. Step 3: Cross multiply
    14,833x = 35,013 × 35,013
  4. Step 4: Simplify right side
    14,833x = 1,225,910,169
  5. Step 5: Solve for x
    x = 1,225,910,169/14,833
  6. Step 6: Final answer
    x = 82,647.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.