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Finding the Third Proportional to 20,702.25 and 32,283.56

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Solution

The third proportional to 20,702.25 and 32,283.56 is: 50,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.25 : 32,283.56 = 32,283.56 : x
  2. Step 2: Convert to fraction form
    20,702.25/32,283.56 = 32,283.56/x
  3. Step 3: Cross multiply
    20,702.25x = 32,283.56 × 32,283.56
  4. Step 4: Simplify right side
    20,702.25x = 1,042,228,407.69
  5. Step 5: Solve for x
    x = 1,042,228,407.69/20,702.25
  6. Step 6: Final answer
    x = 50,343.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.