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Finding the Third Proportional to 14,125.22 and 21,884.34

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Solution

The third proportional to 14,125.22 and 21,884.34 is: 33,905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.22 : 21,884.34 = 21,884.34 : x
  2. Step 2: Convert to fraction form
    14,125.22/21,884.34 = 21,884.34/x
  3. Step 3: Cross multiply
    14,125.22x = 21,884.34 × 21,884.34
  4. Step 4: Simplify right side
    14,125.22x = 478,924,501.37
  5. Step 5: Solve for x
    x = 478,924,501.37/14,125.22
  6. Step 6: Final answer
    x = 33,905.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.