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Finding the Third Proportional to 13,228.31 and 27,534.94

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Solution

The third proportional to 13,228.31 and 27,534.94 is: 57,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.31 : 27,534.94 = 27,534.94 : x
  2. Step 2: Convert to fraction form
    13,228.31/27,534.94 = 27,534.94/x
  3. Step 3: Cross multiply
    13,228.31x = 27,534.94 × 27,534.94
  4. Step 4: Simplify right side
    13,228.31x = 758,172,783.13
  5. Step 5: Solve for x
    x = 758,172,783.13/13,228.31
  6. Step 6: Final answer
    x = 57,314.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.