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Finding the Third Proportional to 27,523.13 and 42,469.31

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Solution

The third proportional to 27,523.13 and 42,469.31 is: 65,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523.13 : 42,469.31 = 42,469.31 : x
  2. Step 2: Convert to fraction form
    27,523.13/42,469.31 = 42,469.31/x
  3. Step 3: Cross multiply
    27,523.13x = 42,469.31 × 42,469.31
  4. Step 4: Simplify right side
    27,523.13x = 1,803,642,504.22
  5. Step 5: Solve for x
    x = 1,803,642,504.22/27,523.13
  6. Step 6: Final answer
    x = 65,531.89

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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.