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Finding the Third Proportional to 19,184 and 39,072

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Solution

The third proportional to 19,184 and 39,072 is: 79,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,184 : 39,072 = 39,072 : x
  2. Step 2: Convert to fraction form
    19,184/39,072 = 39,072/x
  3. Step 3: Cross multiply
    19,184x = 39,072 × 39,072
  4. Step 4: Simplify right side
    19,184x = 1,526,621,184
  5. Step 5: Solve for x
    x = 1,526,621,184/19,184
  6. Step 6: Final answer
    x = 79,577.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.