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Finding the Third Proportional to 30,153.94 and 46,863.56

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Solution

The third proportional to 30,153.94 and 46,863.56 is: 72,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,153.94 : 46,863.56 = 46,863.56 : x
  2. Step 2: Convert to fraction form
    30,153.94/46,863.56 = 46,863.56/x
  3. Step 3: Cross multiply
    30,153.94x = 46,863.56 × 46,863.56
  4. Step 4: Simplify right side
    30,153.94x = 2,196,193,490.19
  5. Step 5: Solve for x
    x = 2,196,193,490.19/30,153.94
  6. Step 6: Final answer
    x = 72,832.73

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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.