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Finding the Third Proportional to 13,284 and 27,405

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Solution

The third proportional to 13,284 and 27,405 is: 56,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284 : 27,405 = 27,405 : x
  2. Step 2: Convert to fraction form
    13,284/27,405 = 27,405/x
  3. Step 3: Cross multiply
    13,284x = 27,405 × 27,405
  4. Step 4: Simplify right side
    13,284x = 751,034,025
  5. Step 5: Solve for x
    x = 751,034,025/13,284
  6. Step 6: Final answer
    x = 56,536.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.