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Finding the Third Proportional to 30,211.50 and 62,001

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Solution

The third proportional to 30,211.50 and 62,001 is: 127,240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.50 : 62,001 = 62,001 : x
  2. Step 2: Convert to fraction form
    30,211.50/62,001 = 62,001/x
  3. Step 3: Cross multiply
    30,211.50x = 62,001 × 62,001
  4. Step 4: Simplify right side
    30,211.50x = 3,844,124,001
  5. Step 5: Solve for x
    x = 3,844,124,001/30,211.50
  6. Step 6: Final answer
    x = 127,240.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.