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Finding the Third Proportional to 16,454 and 26,733

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Solution

The third proportional to 16,454 and 26,733 is: 43,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454 : 26,733 = 26,733 : x
  2. Step 2: Convert to fraction form
    16,454/26,733 = 26,733/x
  3. Step 3: Cross multiply
    16,454x = 26,733 × 26,733
  4. Step 4: Simplify right side
    16,454x = 714,653,289
  5. Step 5: Solve for x
    x = 714,653,289/16,454
  6. Step 6: Final answer
    x = 43,433.41

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.