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Finding the Third Proportional to 16,854 and 26,921

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Solution

The third proportional to 16,854 and 26,921 is: 43,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854 : 26,921 = 26,921 : x
  2. Step 2: Convert to fraction form
    16,854/26,921 = 26,921/x
  3. Step 3: Cross multiply
    16,854x = 26,921 × 26,921
  4. Step 4: Simplify right side
    16,854x = 724,740,241
  5. Step 5: Solve for x
    x = 724,740,241/16,854
  6. Step 6: Final answer
    x = 43,001.08

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.