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Finding the Third Proportional to 24,808 and 54,273.50

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Solution

The third proportional to 24,808 and 54,273.50 is: 118,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,808 : 54,273.50 = 54,273.50 : x
  2. Step 2: Convert to fraction form
    24,808/54,273.50 = 54,273.50/x
  3. Step 3: Cross multiply
    24,808x = 54,273.50 × 54,273.50
  4. Step 4: Simplify right side
    24,808x = 2,945,612,802.25
  5. Step 5: Solve for x
    x = 2,945,612,802.25/24,808
  6. Step 6: Final answer
    x = 118,736.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.