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Finding the Third Proportional to 30,242 and 47,019

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Solution

The third proportional to 30,242 and 47,019 is: 73,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,242 : 47,019 = 47,019 : x
  2. Step 2: Convert to fraction form
    30,242/47,019 = 47,019/x
  3. Step 3: Cross multiply
    30,242x = 47,019 × 47,019
  4. Step 4: Simplify right side
    30,242x = 2,210,786,361
  5. Step 5: Solve for x
    x = 2,210,786,361/30,242
  6. Step 6: Final answer
    x = 73,103.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.