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Finding the Third Proportional to 28,696 and 62,003

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Solution

The third proportional to 28,696 and 62,003 is: 133,968.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,696 : 62,003 = 62,003 : x
  2. Step 2: Convert to fraction form
    28,696/62,003 = 62,003/x
  3. Step 3: Cross multiply
    28,696x = 62,003 × 62,003
  4. Step 4: Simplify right side
    28,696x = 3,844,372,009
  5. Step 5: Solve for x
    x = 3,844,372,009/28,696
  6. Step 6: Final answer
    x = 133,968.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.