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Finding the Third Proportional to 14,146 and 19,426

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Solution

The third proportional to 14,146 and 19,426 is: 26,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146 : 19,426 = 19,426 : x
  2. Step 2: Convert to fraction form
    14,146/19,426 = 19,426/x
  3. Step 3: Cross multiply
    14,146x = 19,426 × 19,426
  4. Step 4: Simplify right side
    14,146x = 377,369,476
  5. Step 5: Solve for x
    x = 377,369,476/14,146
  6. Step 6: Final answer
    x = 26,676.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.