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Finding the Third Proportional to 19,740 and 30,014

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Solution

The third proportional to 19,740 and 30,014 is: 45,635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,740 : 30,014 = 30,014 : x
  2. Step 2: Convert to fraction form
    19,740/30,014 = 30,014/x
  3. Step 3: Cross multiply
    19,740x = 30,014 × 30,014
  4. Step 4: Simplify right side
    19,740x = 900,840,196
  5. Step 5: Solve for x
    x = 900,840,196/19,740
  6. Step 6: Final answer
    x = 45,635.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.