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Finding the Third Proportional to 24,517.50 and 53,760

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Solution

The third proportional to 24,517.50 and 53,760 is: 117,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.50 : 53,760 = 53,760 : x
  2. Step 2: Convert to fraction form
    24,517.50/53,760 = 53,760/x
  3. Step 3: Cross multiply
    24,517.50x = 53,760 × 53,760
  4. Step 4: Simplify right side
    24,517.50x = 2,890,137,600
  5. Step 5: Solve for x
    x = 2,890,137,600/24,517.50
  6. Step 6: Final answer
    x = 117,880.60

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Why These Related Problems?

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