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Finding the Third Proportional to 20,175 and 31,100

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Solution

The third proportional to 20,175 and 31,100 is: 47,941.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175 : 31,100 = 31,100 : x
  2. Step 2: Convert to fraction form
    20,175/31,100 = 31,100/x
  3. Step 3: Cross multiply
    20,175x = 31,100 × 31,100
  4. Step 4: Simplify right side
    20,175x = 967,210,000
  5. Step 5: Solve for x
    x = 967,210,000/20,175
  6. Step 6: Final answer
    x = 47,941.02

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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.