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Finding the Third Proportional to 26,784 and 40,419

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Solution

The third proportional to 26,784 and 40,419 is: 60,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,784 : 40,419 = 40,419 : x
  2. Step 2: Convert to fraction form
    26,784/40,419 = 40,419/x
  3. Step 3: Cross multiply
    26,784x = 40,419 × 40,419
  4. Step 4: Simplify right side
    26,784x = 1,633,695,561
  5. Step 5: Solve for x
    x = 1,633,695,561/26,784
  6. Step 6: Final answer
    x = 60,995.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.