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Finding the Third Proportional to 7,426.69 and 11,214.07

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Solution

The third proportional to 7,426.69 and 11,214.07 is: 16,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,426.69 : 11,214.07 = 11,214.07 : x
  2. Step 2: Convert to fraction form
    7,426.69/11,214.07 = 11,214.07/x
  3. Step 3: Cross multiply
    7,426.69x = 11,214.07 × 11,214.07
  4. Step 4: Simplify right side
    7,426.69x = 125,755,372.97
  5. Step 5: Solve for x
    x = 125,755,372.97/7,426.69
  6. Step 6: Final answer
    x = 16,932.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.