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Finding the Third Proportional to 14,660.72 and 31,397.34

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Solution

The third proportional to 14,660.72 and 31,397.34 is: 67,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,660.72 : 31,397.34 = 31,397.34 : x
  2. Step 2: Convert to fraction form
    14,660.72/31,397.34 = 31,397.34/x
  3. Step 3: Cross multiply
    14,660.72x = 31,397.34 × 31,397.34
  4. Step 4: Simplify right side
    14,660.72x = 985,793,194.56
  5. Step 5: Solve for x
    x = 985,793,194.56/14,660.72
  6. Step 6: Final answer
    x = 67,240.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.