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Finding the Third Proportional to 6,405 and 11,298

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Solution

The third proportional to 6,405 and 11,298 is: 19,928.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405 : 11,298 = 11,298 : x
  2. Step 2: Convert to fraction form
    6,405/11,298 = 11,298/x
  3. Step 3: Cross multiply
    6,405x = 11,298 × 11,298
  4. Step 4: Simplify right side
    6,405x = 127,644,804
  5. Step 5: Solve for x
    x = 127,644,804/6,405
  6. Step 6: Final answer
    x = 19,928.93

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.