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Finding the Third Proportional to 14,405.34 and 29,521.97

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Solution

The third proportional to 14,405.34 and 29,521.97 is: 60,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.34 : 29,521.97 = 29,521.97 : x
  2. Step 2: Convert to fraction form
    14,405.34/29,521.97 = 29,521.97/x
  3. Step 3: Cross multiply
    14,405.34x = 29,521.97 × 29,521.97
  4. Step 4: Simplify right side
    14,405.34x = 871,546,638.88
  5. Step 5: Solve for x
    x = 871,546,638.88/14,405.34
  6. Step 6: Final answer
    x = 60,501.62

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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.