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Finding the Third Proportional to 20,170.69 and 31,106.53

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Solution

The third proportional to 20,170.69 and 31,106.53 is: 47,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170.69 : 31,106.53 = 31,106.53 : x
  2. Step 2: Convert to fraction form
    20,170.69/31,106.53 = 31,106.53/x
  3. Step 3: Cross multiply
    20,170.69x = 31,106.53 × 31,106.53
  4. Step 4: Simplify right side
    20,170.69x = 967,616,286.41
  5. Step 5: Solve for x
    x = 967,616,286.41/20,170.69
  6. Step 6: Final answer
    x = 47,971.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.