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Finding the Third Proportional to 30,241.69 and 46,782.56

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Solution

The third proportional to 30,241.69 and 46,782.56 is: 72,370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,241.69 : 46,782.56 = 46,782.56 : x
  2. Step 2: Convert to fraction form
    30,241.69/46,782.56 = 46,782.56/x
  3. Step 3: Cross multiply
    30,241.69x = 46,782.56 × 46,782.56
  4. Step 4: Simplify right side
    30,241.69x = 2,188,608,154.07
  5. Step 5: Solve for x
    x = 2,188,608,154.07/30,241.69
  6. Step 6: Final answer
    x = 72,370.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.