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Finding the Third Proportional to 27,051.75 and 59,208.75

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Solution

The third proportional to 27,051.75 and 59,208.75 is: 129,591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,051.75 : 59,208.75 = 59,208.75 : x
  2. Step 2: Convert to fraction form
    27,051.75/59,208.75 = 59,208.75/x
  3. Step 3: Cross multiply
    27,051.75x = 59,208.75 × 59,208.75
  4. Step 4: Simplify right side
    27,051.75x = 3,505,676,076.56
  5. Step 5: Solve for x
    x = 3,505,676,076.56/27,051.75
  6. Step 6: Final answer
    x = 129,591.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.