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Finding the Third Proportional to 7,426.69 and 16,827.75

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Solution

The third proportional to 7,426.69 and 16,827.75 is: 38,129.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,426.69 : 16,827.75 = 16,827.75 : x
  2. Step 2: Convert to fraction form
    7,426.69/16,827.75 = 16,827.75/x
  3. Step 3: Cross multiply
    7,426.69x = 16,827.75 × 16,827.75
  4. Step 4: Simplify right side
    7,426.69x = 283,173,170.06
  5. Step 5: Solve for x
    x = 283,173,170.06/7,426.69
  6. Step 6: Final answer
    x = 38,129.13

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.