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Finding the Third Proportional to 38,004.50 and 80,930.50

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Solution

The third proportional to 38,004.50 and 80,930.50 is: 172,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,004.50 : 80,930.50 = 80,930.50 : x
  2. Step 2: Convert to fraction form
    38,004.50/80,930.50 = 80,930.50/x
  3. Step 3: Cross multiply
    38,004.50x = 80,930.50 × 80,930.50
  4. Step 4: Simplify right side
    38,004.50x = 6,549,745,830.25
  5. Step 5: Solve for x
    x = 6,549,745,830.25/38,004.50
  6. Step 6: Final answer
    x = 172,341.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.