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Finding the Third Proportional to 7,403.88 and 16,364.75

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Solution

The third proportional to 7,403.88 and 16,364.75 is: 36,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403.88 : 16,364.75 = 16,364.75 : x
  2. Step 2: Convert to fraction form
    7,403.88/16,364.75 = 16,364.75/x
  3. Step 3: Cross multiply
    7,403.88x = 16,364.75 × 16,364.75
  4. Step 4: Simplify right side
    7,403.88x = 267,805,042.56
  5. Step 5: Solve for x
    x = 267,805,042.56/7,403.88
  6. Step 6: Final answer
    x = 36,170.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.