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Finding the Third Proportional to 6,452.16 and 14,133.66

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Solution

The third proportional to 6,452.16 and 14,133.66 is: 30,960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.16 : 14,133.66 = 14,133.66 : x
  2. Step 2: Convert to fraction form
    6,452.16/14,133.66 = 14,133.66/x
  3. Step 3: Cross multiply
    6,452.16x = 14,133.66 × 14,133.66
  4. Step 4: Simplify right side
    6,452.16x = 199,760,238.99
  5. Step 5: Solve for x
    x = 199,760,238.99/6,452.16
  6. Step 6: Final answer
    x = 30,960.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.