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Finding the Third Proportional to 35,010 and 84,485

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Solution

The third proportional to 35,010 and 84,485 is: 203,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,010 : 84,485 = 84,485 : x
  2. Step 2: Convert to fraction form
    35,010/84,485 = 84,485/x
  3. Step 3: Cross multiply
    35,010x = 84,485 × 84,485
  4. Step 4: Simplify right side
    35,010x = 7,137,715,225
  5. Step 5: Solve for x
    x = 7,137,715,225/35,010
  6. Step 6: Final answer
    x = 203,876.47

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.