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Finding the Third Proportional to 3,696 and 5,858

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Solution

The third proportional to 3,696 and 5,858 is: 9,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696 : 5,858 = 5,858 : x
  2. Step 2: Convert to fraction form
    3,696/5,858 = 5,858/x
  3. Step 3: Cross multiply
    3,696x = 5,858 × 5,858
  4. Step 4: Simplify right side
    3,696x = 34,316,164
  5. Step 5: Solve for x
    x = 34,316,164/3,696
  6. Step 6: Final answer
    x = 9,284.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.