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Finding the Third Proportional to 28,366 and 58,135

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Solution

The third proportional to 28,366 and 58,135 is: 119,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,366 : 58,135 = 58,135 : x
  2. Step 2: Convert to fraction form
    28,366/58,135 = 58,135/x
  3. Step 3: Cross multiply
    28,366x = 58,135 × 58,135
  4. Step 4: Simplify right side
    28,366x = 3,379,678,225
  5. Step 5: Solve for x
    x = 3,379,678,225/28,366
  6. Step 6: Final answer
    x = 119,145.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.