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Finding the Third Proportional to 23,288.25 and 32,920.75

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Solution

The third proportional to 23,288.25 and 32,920.75 is: 46,537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,288.25 : 32,920.75 = 32,920.75 : x
  2. Step 2: Convert to fraction form
    23,288.25/32,920.75 = 32,920.75/x
  3. Step 3: Cross multiply
    23,288.25x = 32,920.75 × 32,920.75
  4. Step 4: Simplify right side
    23,288.25x = 1,083,775,780.56
  5. Step 5: Solve for x
    x = 1,083,775,780.56/23,288.25
  6. Step 6: Final answer
    x = 46,537.45

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.