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Finding the Third Proportional to 23,730.75 and 50,978.25

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Solution

The third proportional to 23,730.75 and 50,978.25 is: 109,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,730.75 : 50,978.25 = 50,978.25 : x
  2. Step 2: Convert to fraction form
    23,730.75/50,978.25 = 50,978.25/x
  3. Step 3: Cross multiply
    23,730.75x = 50,978.25 × 50,978.25
  4. Step 4: Simplify right side
    23,730.75x = 2,598,781,973.06
  5. Step 5: Solve for x
    x = 2,598,781,973.06/23,730.75
  6. Step 6: Final answer
    x = 109,511.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.