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Finding the Third Proportional to 9,370.69 and 14,026.92

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Solution

The third proportional to 9,370.69 and 14,026.92 is: 20,996.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370.69 : 14,026.92 = 14,026.92 : x
  2. Step 2: Convert to fraction form
    9,370.69/14,026.92 = 14,026.92/x
  3. Step 3: Cross multiply
    9,370.69x = 14,026.92 × 14,026.92
  4. Step 4: Simplify right side
    9,370.69x = 196,754,537.29
  5. Step 5: Solve for x
    x = 196,754,537.29/9,370.69
  6. Step 6: Final answer
    x = 20,996.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.