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Finding the Third Proportional to 18,000.98 and 26,538.26

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Solution

The third proportional to 18,000.98 and 26,538.26 is: 39,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,000.98 : 26,538.26 = 26,538.26 : x
  2. Step 2: Convert to fraction form
    18,000.98/26,538.26 = 26,538.26/x
  3. Step 3: Cross multiply
    18,000.98x = 26,538.26 × 26,538.26
  4. Step 4: Simplify right side
    18,000.98x = 704,279,127.72
  5. Step 5: Solve for x
    x = 704,279,127.72/18,000.98
  6. Step 6: Final answer
    x = 39,124.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.