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Finding the Third Proportional to 16,746 and 25,929

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Solution

The third proportional to 16,746 and 25,929 is: 40,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,746 : 25,929 = 25,929 : x
  2. Step 2: Convert to fraction form
    16,746/25,929 = 25,929/x
  3. Step 3: Cross multiply
    16,746x = 25,929 × 25,929
  4. Step 4: Simplify right side
    16,746x = 672,313,041
  5. Step 5: Solve for x
    x = 672,313,041/16,746
  6. Step 6: Final answer
    x = 40,147.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.