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Finding the Third Proportional to 20,756.25 and 31,073.63

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Solution

The third proportional to 20,756.25 and 31,073.63 is: 46,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,756.25 : 31,073.63 = 31,073.63 : x
  2. Step 2: Convert to fraction form
    20,756.25/31,073.63 = 31,073.63/x
  3. Step 3: Cross multiply
    20,756.25x = 31,073.63 × 31,073.63
  4. Step 4: Simplify right side
    20,756.25x = 965,570,170.64
  5. Step 5: Solve for x
    x = 965,570,170.64/20,756.25
  6. Step 6: Final answer
    x = 46,519.49

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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.