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Finding the Third Proportional to 6,472.69 and 14,412.94

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Solution

The third proportional to 6,472.69 and 14,412.94 is: 32,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.69 : 14,412.94 = 14,412.94 : x
  2. Step 2: Convert to fraction form
    6,472.69/14,412.94 = 14,412.94/x
  3. Step 3: Cross multiply
    6,472.69x = 14,412.94 × 14,412.94
  4. Step 4: Simplify right side
    6,472.69x = 207,732,767.38
  5. Step 5: Solve for x
    x = 207,732,767.38/6,472.69
  6. Step 6: Final answer
    x = 32,093.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.