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Finding the Third Proportional to 27,033.25 and 59,329.25

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Solution

The third proportional to 27,033.25 and 59,329.25 is: 130,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,033.25 : 59,329.25 = 59,329.25 : x
  2. Step 2: Convert to fraction form
    27,033.25/59,329.25 = 59,329.25/x
  3. Step 3: Cross multiply
    27,033.25x = 59,329.25 × 59,329.25
  4. Step 4: Simplify right side
    27,033.25x = 3,519,959,905.56
  5. Step 5: Solve for x
    x = 3,519,959,905.56/27,033.25
  6. Step 6: Final answer
    x = 130,208.54

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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.