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Finding the Third Proportional to 14,371 and 19,179

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Solution

The third proportional to 14,371 and 19,179 is: 25,595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,371 : 19,179 = 19,179 : x
  2. Step 2: Convert to fraction form
    14,371/19,179 = 19,179/x
  3. Step 3: Cross multiply
    14,371x = 19,179 × 19,179
  4. Step 4: Simplify right side
    14,371x = 367,834,041
  5. Step 5: Solve for x
    x = 367,834,041/14,371
  6. Step 6: Final answer
    x = 25,595.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.