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Finding the Third Proportional to 13,194 and 28,564

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Solution

The third proportional to 13,194 and 28,564 is: 61,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194 : 28,564 = 28,564 : x
  2. Step 2: Convert to fraction form
    13,194/28,564 = 28,564/x
  3. Step 3: Cross multiply
    13,194x = 28,564 × 28,564
  4. Step 4: Simplify right side
    13,194x = 815,902,096
  5. Step 5: Solve for x
    x = 815,902,096/13,194
  6. Step 6: Final answer
    x = 61,838.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.