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Finding the Third Proportional to 20,138.63 and 30,071.25

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Solution

The third proportional to 20,138.63 and 30,071.25 is: 44,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.63 : 30,071.25 = 30,071.25 : x
  2. Step 2: Convert to fraction form
    20,138.63/30,071.25 = 30,071.25/x
  3. Step 3: Cross multiply
    20,138.63x = 30,071.25 × 30,071.25
  4. Step 4: Simplify right side
    20,138.63x = 904,280,076.56
  5. Step 5: Solve for x
    x = 904,280,076.56/20,138.63
  6. Step 6: Final answer
    x = 44,902.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.