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Finding the Third Proportional to 14,388.26 and 29,468.39

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Solution

The third proportional to 14,388.26 and 29,468.39 is: 60,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,388.26 : 29,468.39 = 29,468.39 : x
  2. Step 2: Convert to fraction form
    14,388.26/29,468.39 = 29,468.39/x
  3. Step 3: Cross multiply
    14,388.26x = 29,468.39 × 29,468.39
  4. Step 4: Simplify right side
    14,388.26x = 868,386,046.03
  5. Step 5: Solve for x
    x = 868,386,046.03/14,388.26
  6. Step 6: Final answer
    x = 60,353.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.