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Finding the Third Proportional to 28,800 and 41,184

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Solution

The third proportional to 28,800 and 41,184 is: 58,893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,800 : 41,184 = 41,184 : x
  2. Step 2: Convert to fraction form
    28,800/41,184 = 41,184/x
  3. Step 3: Cross multiply
    28,800x = 41,184 × 41,184
  4. Step 4: Simplify right side
    28,800x = 1,696,121,856
  5. Step 5: Solve for x
    x = 1,696,121,856/28,800
  6. Step 6: Final answer
    x = 58,893.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.