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Finding the Third Proportional to 30,205.50 and 61,992

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Solution

The third proportional to 30,205.50 and 61,992 is: 127,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.50 : 61,992 = 61,992 : x
  2. Step 2: Convert to fraction form
    30,205.50/61,992 = 61,992/x
  3. Step 3: Cross multiply
    30,205.50x = 61,992 × 61,992
  4. Step 4: Simplify right side
    30,205.50x = 3,843,008,064
  5. Step 5: Solve for x
    x = 3,843,008,064/30,205.50
  6. Step 6: Final answer
    x = 127,228.75

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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.