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Finding the Third Proportional to 24,676.50 and 54,276

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Solution

The third proportional to 24,676.50 and 54,276 is: 119,380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,676.50 : 54,276 = 54,276 : x
  2. Step 2: Convert to fraction form
    24,676.50/54,276 = 54,276/x
  3. Step 3: Cross multiply
    24,676.50x = 54,276 × 54,276
  4. Step 4: Simplify right side
    24,676.50x = 2,945,884,176
  5. Step 5: Solve for x
    x = 2,945,884,176/24,676.50
  6. Step 6: Final answer
    x = 119,380.15

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.