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Finding the Third Proportional to 14,332.22 and 29,302.31

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Solution

The third proportional to 14,332.22 and 29,302.31 is: 59,908.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332.22 : 29,302.31 = 29,302.31 : x
  2. Step 2: Convert to fraction form
    14,332.22/29,302.31 = 29,302.31/x
  3. Step 3: Cross multiply
    14,332.22x = 29,302.31 × 29,302.31
  4. Step 4: Simplify right side
    14,332.22x = 858,625,517.85
  5. Step 5: Solve for x
    x = 858,625,517.85/14,332.22
  6. Step 6: Final answer
    x = 59,908.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.