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Finding the Third Proportional to 13,194 and 19,359

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Solution

The third proportional to 13,194 and 19,359 is: 28,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194 : 19,359 = 19,359 : x
  2. Step 2: Convert to fraction form
    13,194/19,359 = 19,359/x
  3. Step 3: Cross multiply
    13,194x = 19,359 × 19,359
  4. Step 4: Simplify right side
    13,194x = 374,770,881
  5. Step 5: Solve for x
    x = 374,770,881/13,194
  6. Step 6: Final answer
    x = 28,404.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.