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Finding the Third Proportional to 14,914.13 and 20,427.19

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Solution

The third proportional to 14,914.13 and 20,427.19 is: 27,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.13 : 20,427.19 = 20,427.19 : x
  2. Step 2: Convert to fraction form
    14,914.13/20,427.19 = 20,427.19/x
  3. Step 3: Cross multiply
    14,914.13x = 20,427.19 × 20,427.19
  4. Step 4: Simplify right side
    14,914.13x = 417,269,989.16
  5. Step 5: Solve for x
    x = 417,269,989.16/14,914.13
  6. Step 6: Final answer
    x = 27,978.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.