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Finding the Third Proportional to 14,104 and 30,716

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Solution

The third proportional to 14,104 and 30,716 is: 66,893.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104 : 30,716 = 30,716 : x
  2. Step 2: Convert to fraction form
    14,104/30,716 = 30,716/x
  3. Step 3: Cross multiply
    14,104x = 30,716 × 30,716
  4. Step 4: Simplify right side
    14,104x = 943,472,656
  5. Step 5: Solve for x
    x = 943,472,656/14,104
  6. Step 6: Final answer
    x = 66,893.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.