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Finding the Third Proportional to 30,638.25 and 43,355.25

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Solution

The third proportional to 30,638.25 and 43,355.25 is: 61,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638.25 : 43,355.25 = 43,355.25 : x
  2. Step 2: Convert to fraction form
    30,638.25/43,355.25 = 43,355.25/x
  3. Step 3: Cross multiply
    30,638.25x = 43,355.25 × 43,355.25
  4. Step 4: Simplify right side
    30,638.25x = 1,879,677,702.56
  5. Step 5: Solve for x
    x = 1,879,677,702.56/30,638.25
  6. Step 6: Final answer
    x = 61,350.69

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.