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Finding the Third Proportional to 27,352.69 and 57,484.69

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Solution

The third proportional to 27,352.69 and 57,484.69 is: 120,810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,352.69 : 57,484.69 = 57,484.69 : x
  2. Step 2: Convert to fraction form
    27,352.69/57,484.69 = 57,484.69/x
  3. Step 3: Cross multiply
    27,352.69x = 57,484.69 × 57,484.69
  4. Step 4: Simplify right side
    27,352.69x = 3,304,489,296.97
  5. Step 5: Solve for x
    x = 3,304,489,296.97/27,352.69
  6. Step 6: Final answer
    x = 120,810.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.