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Finding the Third Proportional to 7,392.38 and 16,426.69

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Solution

The third proportional to 7,392.38 and 16,426.69 is: 36,501.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392.38 : 16,426.69 = 16,426.69 : x
  2. Step 2: Convert to fraction form
    7,392.38/16,426.69 = 16,426.69/x
  3. Step 3: Cross multiply
    7,392.38x = 16,426.69 × 16,426.69
  4. Step 4: Simplify right side
    7,392.38x = 269,836,062.22
  5. Step 5: Solve for x
    x = 269,836,062.22/7,392.38
  6. Step 6: Final answer
    x = 36,501.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.