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Finding the Third Proportional to 20,007.75 and 46,374.38

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Solution

The third proportional to 20,007.75 and 46,374.38 is: 107,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007.75 : 46,374.38 = 46,374.38 : x
  2. Step 2: Convert to fraction form
    20,007.75/46,374.38 = 46,374.38/x
  3. Step 3: Cross multiply
    20,007.75x = 46,374.38 × 46,374.38
  4. Step 4: Simplify right side
    20,007.75x = 2,150,582,656.64
  5. Step 5: Solve for x
    x = 2,150,582,656.64/20,007.75
  6. Step 6: Final answer
    x = 107,487.48

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.