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Finding the Third Proportional to 19,914 and 30,498.75

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Solution

The third proportional to 19,914 and 30,498.75 is: 46,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,914 : 30,498.75 = 30,498.75 : x
  2. Step 2: Convert to fraction form
    19,914/30,498.75 = 30,498.75/x
  3. Step 3: Cross multiply
    19,914x = 30,498.75 × 30,498.75
  4. Step 4: Simplify right side
    19,914x = 930,173,751.56
  5. Step 5: Solve for x
    x = 930,173,751.56/19,914
  6. Step 6: Final answer
    x = 46,709.54

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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.