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Finding the Third Proportional to 16,878 and 27,117

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Solution

The third proportional to 16,878 and 27,117 is: 43,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,878 : 27,117 = 27,117 : x
  2. Step 2: Convert to fraction form
    16,878/27,117 = 27,117/x
  3. Step 3: Cross multiply
    16,878x = 27,117 × 27,117
  4. Step 4: Simplify right side
    16,878x = 735,331,689
  5. Step 5: Solve for x
    x = 735,331,689/16,878
  6. Step 6: Final answer
    x = 43,567.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.