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Finding the Third Proportional to 3,632.25 and 7,700.63

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Solution

The third proportional to 3,632.25 and 7,700.63 is: 16,325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.25 : 7,700.63 = 7,700.63 : x
  2. Step 2: Convert to fraction form
    3,632.25/7,700.63 = 7,700.63/x
  3. Step 3: Cross multiply
    3,632.25x = 7,700.63 × 7,700.63
  4. Step 4: Simplify right side
    3,632.25x = 59,299,625.39
  5. Step 5: Solve for x
    x = 59,299,625.39/3,632.25
  6. Step 6: Final answer
    x = 16,325.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.