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Finding the Third Proportional to 13,653.56 and 28,051.31

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Solution

The third proportional to 13,653.56 and 28,051.31 is: 57,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.56 : 28,051.31 = 28,051.31 : x
  2. Step 2: Convert to fraction form
    13,653.56/28,051.31 = 28,051.31/x
  3. Step 3: Cross multiply
    13,653.56x = 28,051.31 × 28,051.31
  4. Step 4: Simplify right side
    13,653.56x = 786,876,132.97
  5. Step 5: Solve for x
    x = 786,876,132.97/13,653.56
  6. Step 6: Final answer
    x = 57,631.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.