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Finding the Third Proportional to 24,835.50 and 54,039

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Solution

The third proportional to 24,835.50 and 54,039 is: 117,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,835.50 : 54,039 = 54,039 : x
  2. Step 2: Convert to fraction form
    24,835.50/54,039 = 54,039/x
  3. Step 3: Cross multiply
    24,835.50x = 54,039 × 54,039
  4. Step 4: Simplify right side
    24,835.50x = 2,920,213,521
  5. Step 5: Solve for x
    x = 2,920,213,521/24,835.50
  6. Step 6: Final answer
    x = 117,582.23

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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.