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Finding the Third Proportional to 13,312 and 21,172

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Solution

The third proportional to 13,312 and 21,172 is: 33,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,312 : 21,172 = 21,172 : x
  2. Step 2: Convert to fraction form
    13,312/21,172 = 21,172/x
  3. Step 3: Cross multiply
    13,312x = 21,172 × 21,172
  4. Step 4: Simplify right side
    13,312x = 448,253,584
  5. Step 5: Solve for x
    x = 448,253,584/13,312
  6. Step 6: Final answer
    x = 33,672.90

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.