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Finding the Third Proportional to 30,896 and 66,680

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Solution

The third proportional to 30,896 and 66,680 is: 143,909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896 : 66,680 = 66,680 : x
  2. Step 2: Convert to fraction form
    30,896/66,680 = 66,680/x
  3. Step 3: Cross multiply
    30,896x = 66,680 × 66,680
  4. Step 4: Simplify right side
    30,896x = 4,446,222,400
  5. Step 5: Solve for x
    x = 4,446,222,400/30,896
  6. Step 6: Final answer
    x = 143,909.32

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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.