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Finding the Third Proportional to 20,668.50 and 31,019.63

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Solution

The third proportional to 20,668.50 and 31,019.63 is: 46,554.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,668.50 : 31,019.63 = 31,019.63 : x
  2. Step 2: Convert to fraction form
    20,668.50/31,019.63 = 31,019.63/x
  3. Step 3: Cross multiply
    20,668.50x = 31,019.63 × 31,019.63
  4. Step 4: Simplify right side
    20,668.50x = 962,217,135.14
  5. Step 5: Solve for x
    x = 962,217,135.14/20,668.50
  6. Step 6: Final answer
    x = 46,554.76

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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.