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Finding the Third Proportional to 24,820.50 and 54,015

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Solution

The third proportional to 24,820.50 and 54,015 is: 117,548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820.50 : 54,015 = 54,015 : x
  2. Step 2: Convert to fraction form
    24,820.50/54,015 = 54,015/x
  3. Step 3: Cross multiply
    24,820.50x = 54,015 × 54,015
  4. Step 4: Simplify right side
    24,820.50x = 2,917,620,225
  5. Step 5: Solve for x
    x = 2,917,620,225/24,820.50
  6. Step 6: Final answer
    x = 117,548.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.