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Finding the Third Proportional to 24,735.50 and 54,806.50

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Solution

The third proportional to 24,735.50 and 54,806.50 is: 121,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,735.50 : 54,806.50 = 54,806.50 : x
  2. Step 2: Convert to fraction form
    24,735.50/54,806.50 = 54,806.50/x
  3. Step 3: Cross multiply
    24,735.50x = 54,806.50 × 54,806.50
  4. Step 4: Simplify right side
    24,735.50x = 3,003,752,442.25
  5. Step 5: Solve for x
    x = 3,003,752,442.25/24,735.50
  6. Step 6: Final answer
    x = 121,434.88

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.