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Finding the Third Proportional to 47,709 and 72,819

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Solution

The third proportional to 47,709 and 72,819 is: 111,144.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,709 : 72,819 = 72,819 : x
  2. Step 2: Convert to fraction form
    47,709/72,819 = 72,819/x
  3. Step 3: Cross multiply
    47,709x = 72,819 × 72,819
  4. Step 4: Simplify right side
    47,709x = 5,302,606,761
  5. Step 5: Solve for x
    x = 5,302,606,761/47,709
  6. Step 6: Final answer
    x = 111,144.79

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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.