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Finding the Third Proportional to 19,176 and 41,352

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Solution

The third proportional to 19,176 and 41,352 is: 89,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,176 : 41,352 = 41,352 : x
  2. Step 2: Convert to fraction form
    19,176/41,352 = 41,352/x
  3. Step 3: Cross multiply
    19,176x = 41,352 × 41,352
  4. Step 4: Simplify right side
    19,176x = 1,709,987,904
  5. Step 5: Solve for x
    x = 1,709,987,904/19,176
  6. Step 6: Final answer
    x = 89,173.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.