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Finding the Third Proportional to 28,223 and 43,751.50

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Solution

The third proportional to 28,223 and 43,751.50 is: 67,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,223 : 43,751.50 = 43,751.50 : x
  2. Step 2: Convert to fraction form
    28,223/43,751.50 = 43,751.50/x
  3. Step 3: Cross multiply
    28,223x = 43,751.50 × 43,751.50
  4. Step 4: Simplify right side
    28,223x = 1,914,193,752.25
  5. Step 5: Solve for x
    x = 1,914,193,752.25/28,223
  6. Step 6: Final answer
    x = 67,823.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.