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Finding the Third Proportional to 18,491.50 and 26,165.38

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Solution

The third proportional to 18,491.50 and 26,165.38 is: 37,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,491.50 : 26,165.38 = 26,165.38 : x
  2. Step 2: Convert to fraction form
    18,491.50/26,165.38 = 26,165.38/x
  3. Step 3: Cross multiply
    18,491.50x = 26,165.38 × 26,165.38
  4. Step 4: Simplify right side
    18,491.50x = 684,626,848.89
  5. Step 5: Solve for x
    x = 684,626,848.89/18,491.50
  6. Step 6: Final answer
    x = 37,023.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.