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Finding the Third Proportional to 20,081.25 and 29,200.50

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Solution

The third proportional to 20,081.25 and 29,200.50 is: 42,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,081.25 : 29,200.50 = 29,200.50 : x
  2. Step 2: Convert to fraction form
    20,081.25/29,200.50 = 29,200.50/x
  3. Step 3: Cross multiply
    20,081.25x = 29,200.50 × 29,200.50
  4. Step 4: Simplify right side
    20,081.25x = 852,669,200.25
  5. Step 5: Solve for x
    x = 852,669,200.25/20,081.25
  6. Step 6: Final answer
    x = 42,460.96

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.