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Finding the Third Proportional to 16,429 and 26,049

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Solution

The third proportional to 16,429 and 26,049 is: 41,301.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,429 : 26,049 = 26,049 : x
  2. Step 2: Convert to fraction form
    16,429/26,049 = 26,049/x
  3. Step 3: Cross multiply
    16,429x = 26,049 × 26,049
  4. Step 4: Simplify right side
    16,429x = 678,550,401
  5. Step 5: Solve for x
    x = 678,550,401/16,429
  6. Step 6: Final answer
    x = 41,301.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.