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Finding the Third Proportional to 17,203.01 and 24,225.96

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Solution

The third proportional to 17,203.01 and 24,225.96 is: 34,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,203.01 : 24,225.96 = 24,225.96 : x
  2. Step 2: Convert to fraction form
    17,203.01/24,225.96 = 24,225.96/x
  3. Step 3: Cross multiply
    17,203.01x = 24,225.96 × 24,225.96
  4. Step 4: Simplify right side
    17,203.01x = 586,897,183.35
  5. Step 5: Solve for x
    x = 586,897,183.35/17,203.01
  6. Step 6: Final answer
    x = 34,115.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.