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Finding the Third Proportional to 4,180 and 9,716

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Solution

The third proportional to 4,180 and 9,716 is: 22,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180 : 9,716 = 9,716 : x
  2. Step 2: Convert to fraction form
    4,180/9,716 = 9,716/x
  3. Step 3: Cross multiply
    4,180x = 9,716 × 9,716
  4. Step 4: Simplify right side
    4,180x = 94,400,656
  5. Step 5: Solve for x
    x = 94,400,656/4,180
  6. Step 6: Final answer
    x = 22,583.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.