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Finding the Third Proportional to 28,916 and 67,184

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Solution

The third proportional to 28,916 and 67,184 is: 156,096.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,916 : 67,184 = 67,184 : x
  2. Step 2: Convert to fraction form
    28,916/67,184 = 67,184/x
  3. Step 3: Cross multiply
    28,916x = 67,184 × 67,184
  4. Step 4: Simplify right side
    28,916x = 4,513,689,856
  5. Step 5: Solve for x
    x = 4,513,689,856/28,916
  6. Step 6: Final answer
    x = 156,096.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.