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Finding the Third Proportional to 13,419.84 and 16,092.84

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Solution

The third proportional to 13,419.84 and 16,092.84 is: 19,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.84 : 16,092.84 = 16,092.84 : x
  2. Step 2: Convert to fraction form
    13,419.84/16,092.84 = 16,092.84/x
  3. Step 3: Cross multiply
    13,419.84x = 16,092.84 × 16,092.84
  4. Step 4: Simplify right side
    13,419.84x = 258,979,619.96
  5. Step 5: Solve for x
    x = 258,979,619.96/13,419.84
  6. Step 6: Final answer
    x = 19,298.26

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.