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Finding the Third Proportional to 27,352.69 and 42,001.03

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Solution

The third proportional to 27,352.69 and 42,001.03 is: 64,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,352.69 : 42,001.03 = 42,001.03 : x
  2. Step 2: Convert to fraction form
    27,352.69/42,001.03 = 42,001.03/x
  3. Step 3: Cross multiply
    27,352.69x = 42,001.03 × 42,001.03
  4. Step 4: Simplify right side
    27,352.69x = 1,764,086,626.06
  5. Step 5: Solve for x
    x = 1,764,086,626.06/27,352.69
  6. Step 6: Final answer
    x = 64,494.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.