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Finding the Third Proportional to 27,045 and 39,521.25

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Solution

The third proportional to 27,045 and 39,521.25 is: 57,752.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,045 : 39,521.25 = 39,521.25 : x
  2. Step 2: Convert to fraction form
    27,045/39,521.25 = 39,521.25/x
  3. Step 3: Cross multiply
    27,045x = 39,521.25 × 39,521.25
  4. Step 4: Simplify right side
    27,045x = 1,561,929,201.56
  5. Step 5: Solve for x
    x = 1,561,929,201.56/27,045
  6. Step 6: Final answer
    x = 57,752.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.