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Finding the Third Proportional to 31,448.25 and 45,876.38

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Solution

The third proportional to 31,448.25 and 45,876.38 is: 66,923.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,448.25 : 45,876.38 = 45,876.38 : x
  2. Step 2: Convert to fraction form
    31,448.25/45,876.38 = 45,876.38/x
  3. Step 3: Cross multiply
    31,448.25x = 45,876.38 × 45,876.38
  4. Step 4: Simplify right side
    31,448.25x = 2,104,641,783.14
  5. Step 5: Solve for x
    x = 2,104,641,783.14/31,448.25
  6. Step 6: Final answer
    x = 66,923.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.