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Finding the Third Proportional to 14,306.63 and 31,324.22

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Solution

The third proportional to 14,306.63 and 31,324.22 is: 68,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.63 : 31,324.22 = 31,324.22 : x
  2. Step 2: Convert to fraction form
    14,306.63/31,324.22 = 31,324.22/x
  3. Step 3: Cross multiply
    14,306.63x = 31,324.22 × 31,324.22
  4. Step 4: Simplify right side
    14,306.63x = 981,206,680.30
  5. Step 5: Solve for x
    x = 981,206,680.30/14,306.63
  6. Step 6: Final answer
    x = 68,584.08

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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.