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Finding the Third Proportional to 20,016 and 31,398.75

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Solution

The third proportional to 20,016 and 31,398.75 is: 49,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,016 : 31,398.75 = 31,398.75 : x
  2. Step 2: Convert to fraction form
    20,016/31,398.75 = 31,398.75/x
  3. Step 3: Cross multiply
    20,016x = 31,398.75 × 31,398.75
  4. Step 4: Simplify right side
    20,016x = 985,881,501.56
  5. Step 5: Solve for x
    x = 985,881,501.56/20,016
  6. Step 6: Final answer
    x = 49,254.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.