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Finding the Third Proportional to 26,754 and 39,745

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Solution

The third proportional to 26,754 and 39,745 is: 59,044.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,754 : 39,745 = 39,745 : x
  2. Step 2: Convert to fraction form
    26,754/39,745 = 39,745/x
  3. Step 3: Cross multiply
    26,754x = 39,745 × 39,745
  4. Step 4: Simplify right side
    26,754x = 1,579,665,025
  5. Step 5: Solve for x
    x = 1,579,665,025/26,754
  6. Step 6: Final answer
    x = 59,044.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.