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Finding the Third Proportional to 7,426.13 and 16,021.69

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Solution

The third proportional to 7,426.13 and 16,021.69 is: 34,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,426.13 : 16,021.69 = 16,021.69 : x
  2. Step 2: Convert to fraction form
    7,426.13/16,021.69 = 16,021.69/x
  3. Step 3: Cross multiply
    7,426.13x = 16,021.69 × 16,021.69
  4. Step 4: Simplify right side
    7,426.13x = 256,694,470.35
  5. Step 5: Solve for x
    x = 256,694,470.35/7,426.13
  6. Step 6: Final answer
    x = 34,566.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.