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Finding the Third Proportional to 20,236.50 and 30,283.88

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Solution

The third proportional to 20,236.50 and 30,283.88 is: 45,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,236.50 : 30,283.88 = 30,283.88 : x
  2. Step 2: Convert to fraction form
    20,236.50/30,283.88 = 30,283.88/x
  3. Step 3: Cross multiply
    20,236.50x = 30,283.88 × 30,283.88
  4. Step 4: Simplify right side
    20,236.50x = 917,113,085.02
  5. Step 5: Solve for x
    x = 917,113,085.02/20,236.50
  6. Step 6: Final answer
    x = 45,319.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.