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Finding the Third Proportional to 13,278 and 19,294

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Solution

The third proportional to 13,278 and 19,294 is: 28,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278 : 19,294 = 19,294 : x
  2. Step 2: Convert to fraction form
    13,278/19,294 = 19,294/x
  3. Step 3: Cross multiply
    13,278x = 19,294 × 19,294
  4. Step 4: Simplify right side
    13,278x = 372,258,436
  5. Step 5: Solve for x
    x = 372,258,436/13,278
  6. Step 6: Final answer
    x = 28,035.73

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.