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Finding the Third Proportional to 11,223.75 and 23,221.50

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Solution

The third proportional to 11,223.75 and 23,221.50 is: 48,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.75 : 23,221.50 = 23,221.50 : x
  2. Step 2: Convert to fraction form
    11,223.75/23,221.50 = 23,221.50/x
  3. Step 3: Cross multiply
    11,223.75x = 23,221.50 × 23,221.50
  4. Step 4: Simplify right side
    11,223.75x = 539,238,062.25
  5. Step 5: Solve for x
    x = 539,238,062.25/11,223.75
  6. Step 6: Final answer
    x = 48,044.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.