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Finding the Third Proportional to 16,854 and 26,437

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Solution

The third proportional to 16,854 and 26,437 is: 41,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854 : 26,437 = 26,437 : x
  2. Step 2: Convert to fraction form
    16,854/26,437 = 26,437/x
  3. Step 3: Cross multiply
    16,854x = 26,437 × 26,437
  4. Step 4: Simplify right side
    16,854x = 698,914,969
  5. Step 5: Solve for x
    x = 698,914,969/16,854
  6. Step 6: Final answer
    x = 41,468.79

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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.