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Finding the Third Proportional to 23,377.50 and 31,938.75

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Solution

The third proportional to 23,377.50 and 31,938.75 is: 43,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,377.50 : 31,938.75 = 31,938.75 : x
  2. Step 2: Convert to fraction form
    23,377.50/31,938.75 = 31,938.75/x
  3. Step 3: Cross multiply
    23,377.50x = 31,938.75 × 31,938.75
  4. Step 4: Simplify right side
    23,377.50x = 1,020,083,751.56
  5. Step 5: Solve for x
    x = 1,020,083,751.56/23,377.50
  6. Step 6: Final answer
    x = 43,635.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.