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Finding the Third Proportional to 24,684 and 54,194.63

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Solution

The third proportional to 24,684 and 54,194.63 is: 118,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,684 : 54,194.63 = 54,194.63 : x
  2. Step 2: Convert to fraction form
    24,684/54,194.63 = 54,194.63/x
  3. Step 3: Cross multiply
    24,684x = 54,194.63 × 54,194.63
  4. Step 4: Simplify right side
    24,684x = 2,937,057,378.89
  5. Step 5: Solve for x
    x = 2,937,057,378.89/24,684
  6. Step 6: Final answer
    x = 118,986.28

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Why These Related Problems?

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