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Finding the Third Proportional to 16,458 and 26,505

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Solution

The third proportional to 16,458 and 26,505 is: 42,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458 : 26,505 = 26,505 : x
  2. Step 2: Convert to fraction form
    16,458/26,505 = 26,505/x
  3. Step 3: Cross multiply
    16,458x = 26,505 × 26,505
  4. Step 4: Simplify right side
    16,458x = 702,515,025
  5. Step 5: Solve for x
    x = 702,515,025/16,458
  6. Step 6: Final answer
    x = 42,685.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.