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Finding the Third Proportional to 30,880 and 66,656

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Solution

The third proportional to 30,880 and 66,656 is: 143,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880 : 66,656 = 66,656 : x
  2. Step 2: Convert to fraction form
    30,880/66,656 = 66,656/x
  3. Step 3: Cross multiply
    30,880x = 66,656 × 66,656
  4. Step 4: Simplify right side
    30,880x = 4,443,022,336
  5. Step 5: Solve for x
    x = 4,443,022,336/30,880
  6. Step 6: Final answer
    x = 143,880.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.