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Finding the Third Proportional to 30,083.48 and 46,770.54

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Solution

The third proportional to 30,083.48 and 46,770.54 is: 72,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,083.48 : 46,770.54 = 46,770.54 : x
  2. Step 2: Convert to fraction form
    30,083.48/46,770.54 = 46,770.54/x
  3. Step 3: Cross multiply
    30,083.48x = 46,770.54 × 46,770.54
  4. Step 4: Simplify right side
    30,083.48x = 2,187,483,324.20
  5. Step 5: Solve for x
    x = 2,187,483,324.20/30,083.48
  6. Step 6: Final answer
    x = 72,713.76

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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.