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Finding the Third Proportional to 14,154 and 17,829

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Solution

The third proportional to 14,154 and 17,829 is: 22,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154 : 17,829 = 17,829 : x
  2. Step 2: Convert to fraction form
    14,154/17,829 = 17,829/x
  3. Step 3: Cross multiply
    14,154x = 17,829 × 17,829
  4. Step 4: Simplify right side
    14,154x = 317,873,241
  5. Step 5: Solve for x
    x = 317,873,241/14,154
  6. Step 6: Final answer
    x = 22,458.19

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.