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Finding the Third Proportional to 16,451.23 and 26,493.64

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Solution

The third proportional to 16,451.23 and 26,493.64 is: 42,666.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,451.23 : 26,493.64 = 26,493.64 : x
  2. Step 2: Convert to fraction form
    16,451.23/26,493.64 = 26,493.64/x
  3. Step 3: Cross multiply
    16,451.23x = 26,493.64 × 26,493.64
  4. Step 4: Simplify right side
    16,451.23x = 701,913,200.55
  5. Step 5: Solve for x
    x = 701,913,200.55/16,451.23
  6. Step 6: Final answer
    x = 42,666.31

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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.