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Finding the Third Proportional to 13,284 and 19,654

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Solution

The third proportional to 13,284 and 19,654 is: 29,078.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284 : 19,654 = 19,654 : x
  2. Step 2: Convert to fraction form
    13,284/19,654 = 19,654/x
  3. Step 3: Cross multiply
    13,284x = 19,654 × 19,654
  4. Step 4: Simplify right side
    13,284x = 386,279,716
  5. Step 5: Solve for x
    x = 386,279,716/13,284
  6. Step 6: Final answer
    x = 29,078.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.