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Finding the Third Proportional to 16,874 and 26,820

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Solution

The third proportional to 16,874 and 26,820 is: 42,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874 : 26,820 = 26,820 : x
  2. Step 2: Convert to fraction form
    16,874/26,820 = 26,820/x
  3. Step 3: Cross multiply
    16,874x = 26,820 × 26,820
  4. Step 4: Simplify right side
    16,874x = 719,312,400
  5. Step 5: Solve for x
    x = 719,312,400/16,874
  6. Step 6: Final answer
    x = 42,628.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.