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Finding the Third Proportional to 30,803.73 and 46,616.61

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Solution

The third proportional to 30,803.73 and 46,616.61 is: 70,546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803.73 : 46,616.61 = 46,616.61 : x
  2. Step 2: Convert to fraction form
    30,803.73/46,616.61 = 46,616.61/x
  3. Step 3: Cross multiply
    30,803.73x = 46,616.61 × 46,616.61
  4. Step 4: Simplify right side
    30,803.73x = 2,173,108,087.53
  5. Step 5: Solve for x
    x = 2,173,108,087.53/30,803.73
  6. Step 6: Final answer
    x = 70,546.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.