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Finding the Third Proportional to 47,013 and 72,009

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Solution

The third proportional to 47,013 and 72,009 is: 110,294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,013 : 72,009 = 72,009 : x
  2. Step 2: Convert to fraction form
    47,013/72,009 = 72,009/x
  3. Step 3: Cross multiply
    47,013x = 72,009 × 72,009
  4. Step 4: Simplify right side
    47,013x = 5,185,296,081
  5. Step 5: Solve for x
    x = 5,185,296,081/47,013
  6. Step 6: Final answer
    x = 110,294.94

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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.