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Finding the Third Proportional to 13,884 and 19,506

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Solution

The third proportional to 13,884 and 19,506 is: 27,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884 : 19,506 = 19,506 : x
  2. Step 2: Convert to fraction form
    13,884/19,506 = 19,506/x
  3. Step 3: Cross multiply
    13,884x = 19,506 × 19,506
  4. Step 4: Simplify right side
    13,884x = 380,484,036
  5. Step 5: Solve for x
    x = 380,484,036/13,884
  6. Step 6: Final answer
    x = 27,404.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.