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Finding the Third Proportional to 37,004 and 79,296

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Solution

The third proportional to 37,004 and 79,296 is: 169,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,004 : 79,296 = 79,296 : x
  2. Step 2: Convert to fraction form
    37,004/79,296 = 79,296/x
  3. Step 3: Cross multiply
    37,004x = 79,296 × 79,296
  4. Step 4: Simplify right side
    37,004x = 6,287,855,616
  5. Step 5: Solve for x
    x = 6,287,855,616/37,004
  6. Step 6: Final answer
    x = 169,923.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.