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Finding the Third Proportional to 31,800.38 and 46,728.56

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Solution

The third proportional to 31,800.38 and 46,728.56 is: 68,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,800.38 : 46,728.56 = 46,728.56 : x
  2. Step 2: Convert to fraction form
    31,800.38/46,728.56 = 46,728.56/x
  3. Step 3: Cross multiply
    31,800.38x = 46,728.56 × 46,728.56
  4. Step 4: Simplify right side
    31,800.38x = 2,183,558,553.32
  5. Step 5: Solve for x
    x = 2,183,558,553.32/31,800.38
  6. Step 6: Final answer
    x = 68,664.55

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.