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Finding the Third Proportional to 30,327.75 and 46,757.25

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Solution

The third proportional to 30,327.75 and 46,757.25 is: 72,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,327.75 : 46,757.25 = 46,757.25 : x
  2. Step 2: Convert to fraction form
    30,327.75/46,757.25 = 46,757.25/x
  3. Step 3: Cross multiply
    30,327.75x = 46,757.25 × 46,757.25
  4. Step 4: Simplify right side
    30,327.75x = 2,186,240,427.56
  5. Step 5: Solve for x
    x = 2,186,240,427.56/30,327.75
  6. Step 6: Final answer
    x = 72,087.13

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.