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Finding the Third Proportional to 28,530 and 56,290.50

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Solution

The third proportional to 28,530 and 56,290.50 is: 111,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,530 : 56,290.50 = 56,290.50 : x
  2. Step 2: Convert to fraction form
    28,530/56,290.50 = 56,290.50/x
  3. Step 3: Cross multiply
    28,530x = 56,290.50 × 56,290.50
  4. Step 4: Simplify right side
    28,530x = 3,168,620,390.25
  5. Step 5: Solve for x
    x = 3,168,620,390.25/28,530
  6. Step 6: Final answer
    x = 111,062.75

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.