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Finding the Third Proportional to 7,836 and 17,184

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Solution

The third proportional to 7,836 and 17,184 is: 37,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836 : 17,184 = 17,184 : x
  2. Step 2: Convert to fraction form
    7,836/17,184 = 17,184/x
  3. Step 3: Cross multiply
    7,836x = 17,184 × 17,184
  4. Step 4: Simplify right side
    7,836x = 295,289,856
  5. Step 5: Solve for x
    x = 295,289,856/7,836
  6. Step 6: Final answer
    x = 37,683.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.