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Finding the Third Proportional to 13,854 and 16,830

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Solution

The third proportional to 13,854 and 16,830 is: 20,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854 : 16,830 = 16,830 : x
  2. Step 2: Convert to fraction form
    13,854/16,830 = 16,830/x
  3. Step 3: Cross multiply
    13,854x = 16,830 × 16,830
  4. Step 4: Simplify right side
    13,854x = 283,248,900
  5. Step 5: Solve for x
    x = 283,248,900/13,854
  6. Step 6: Final answer
    x = 20,445.28

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.