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Finding the Third Proportional to 9,296 and 14,216

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Solution

The third proportional to 9,296 and 14,216 is: 21,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296 : 14,216 = 14,216 : x
  2. Step 2: Convert to fraction form
    9,296/14,216 = 14,216/x
  3. Step 3: Cross multiply
    9,296x = 14,216 × 14,216
  4. Step 4: Simplify right side
    9,296x = 202,094,656
  5. Step 5: Solve for x
    x = 202,094,656/9,296
  6. Step 6: Final answer
    x = 21,739.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.