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Finding the Third Proportional to 30,012 and 43,860

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Solution

The third proportional to 30,012 and 43,860 is: 64,097.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,012 : 43,860 = 43,860 : x
  2. Step 2: Convert to fraction form
    30,012/43,860 = 43,860/x
  3. Step 3: Cross multiply
    30,012x = 43,860 × 43,860
  4. Step 4: Simplify right side
    30,012x = 1,923,699,600
  5. Step 5: Solve for x
    x = 1,923,699,600/30,012
  6. Step 6: Final answer
    x = 64,097.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.