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Finding the Third Proportional to 27,026.50 and 39,845

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Solution

The third proportional to 27,026.50 and 39,845 is: 58,743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,026.50 : 39,845 = 39,845 : x
  2. Step 2: Convert to fraction form
    27,026.50/39,845 = 39,845/x
  3. Step 3: Cross multiply
    27,026.50x = 39,845 × 39,845
  4. Step 4: Simplify right side
    27,026.50x = 1,587,624,025
  5. Step 5: Solve for x
    x = 1,587,624,025/27,026.50
  6. Step 6: Final answer
    x = 58,743.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.