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Finding the Third Proportional to 14,171.06 and 21,416.06

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Solution

The third proportional to 14,171.06 and 21,416.06 is: 32,365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,171.06 : 21,416.06 = 21,416.06 : x
  2. Step 2: Convert to fraction form
    14,171.06/21,416.06 = 21,416.06/x
  3. Step 3: Cross multiply
    14,171.06x = 21,416.06 × 21,416.06
  4. Step 4: Simplify right side
    14,171.06x = 458,647,733.00
  5. Step 5: Solve for x
    x = 458,647,733.00/14,171.06
  6. Step 6: Final answer
    x = 32,365.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.