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Finding the Third Proportional to 16,840 and 26,419

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Solution

The third proportional to 16,840 and 26,419 is: 41,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,840 : 26,419 = 26,419 : x
  2. Step 2: Convert to fraction form
    16,840/26,419 = 26,419/x
  3. Step 3: Cross multiply
    16,840x = 26,419 × 26,419
  4. Step 4: Simplify right side
    16,840x = 697,963,561
  5. Step 5: Solve for x
    x = 697,963,561/16,840
  6. Step 6: Final answer
    x = 41,446.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.