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Finding the Third Proportional to 4,566.93 and 9,960.39

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Solution

The third proportional to 4,566.93 and 9,960.39 is: 21,723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.93 : 9,960.39 = 9,960.39 : x
  2. Step 2: Convert to fraction form
    4,566.93/9,960.39 = 9,960.39/x
  3. Step 3: Cross multiply
    4,566.93x = 9,960.39 × 9,960.39
  4. Step 4: Simplify right side
    4,566.93x = 99,209,361.95
  5. Step 5: Solve for x
    x = 99,209,361.95/4,566.93
  6. Step 6: Final answer
    x = 21,723.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.