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Finding the Third Proportional to 20,214.56 and 31,028.06

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Solution

The third proportional to 20,214.56 and 31,028.06 is: 47,626.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.56 : 31,028.06 = 31,028.06 : x
  2. Step 2: Convert to fraction form
    20,214.56/31,028.06 = 31,028.06/x
  3. Step 3: Cross multiply
    20,214.56x = 31,028.06 × 31,028.06
  4. Step 4: Simplify right side
    20,214.56x = 962,740,662.50
  5. Step 5: Solve for x
    x = 962,740,662.50/20,214.56
  6. Step 6: Final answer
    x = 47,626.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.