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Finding the Third Proportional to 11,608.50 and 23,830.50

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Solution

The third proportional to 11,608.50 and 23,830.50 is: 48,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.50 : 23,830.50 = 23,830.50 : x
  2. Step 2: Convert to fraction form
    11,608.50/23,830.50 = 23,830.50/x
  3. Step 3: Cross multiply
    11,608.50x = 23,830.50 × 23,830.50
  4. Step 4: Simplify right side
    11,608.50x = 567,892,730.25
  5. Step 5: Solve for x
    x = 567,892,730.25/11,608.50
  6. Step 6: Final answer
    x = 48,920.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.