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Finding the Third Proportional to 3,116 and 3,656

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Solution

The third proportional to 3,116 and 3,656 is: 4,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116 : 3,656 = 3,656 : x
  2. Step 2: Convert to fraction form
    3,116/3,656 = 3,656/x
  3. Step 3: Cross multiply
    3,116x = 3,656 × 3,656
  4. Step 4: Simplify right side
    3,116x = 13,366,336
  5. Step 5: Solve for x
    x = 13,366,336/3,116
  6. Step 6: Final answer
    x = 4,289.58

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.