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Finding the Third Proportional to 12,312 and 17,256

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Solution

The third proportional to 12,312 and 17,256 is: 24,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312 : 17,256 = 17,256 : x
  2. Step 2: Convert to fraction form
    12,312/17,256 = 17,256/x
  3. Step 3: Cross multiply
    12,312x = 17,256 × 17,256
  4. Step 4: Simplify right side
    12,312x = 297,769,536
  5. Step 5: Solve for x
    x = 297,769,536/12,312
  6. Step 6: Final answer
    x = 24,185.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.