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Finding the Third Proportional to 13,793.63 and 20,948.63

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Solution

The third proportional to 13,793.63 and 20,948.63 is: 31,815.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.63 : 20,948.63 = 20,948.63 : x
  2. Step 2: Convert to fraction form
    13,793.63/20,948.63 = 20,948.63/x
  3. Step 3: Cross multiply
    13,793.63x = 20,948.63 × 20,948.63
  4. Step 4: Simplify right side
    13,793.63x = 438,844,889.39
  5. Step 5: Solve for x
    x = 438,844,889.39/13,793.63
  6. Step 6: Final answer
    x = 31,815.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.