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Finding the Third Proportional to 28,532 and 68,736

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Solution

The third proportional to 28,532 and 68,736 is: 165,590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,532 : 68,736 = 68,736 : x
  2. Step 2: Convert to fraction form
    28,532/68,736 = 68,736/x
  3. Step 3: Cross multiply
    28,532x = 68,736 × 68,736
  4. Step 4: Simplify right side
    28,532x = 4,724,637,696
  5. Step 5: Solve for x
    x = 4,724,637,696/28,532
  6. Step 6: Final answer
    x = 165,590.83

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.