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Finding the Third Proportional to 17,469.19 and 24,695.16

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Solution

The third proportional to 17,469.19 and 24,695.16 is: 34,910.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,469.19 : 24,695.16 = 24,695.16 : x
  2. Step 2: Convert to fraction form
    17,469.19/24,695.16 = 24,695.16/x
  3. Step 3: Cross multiply
    17,469.19x = 24,695.16 × 24,695.16
  4. Step 4: Simplify right side
    17,469.19x = 609,850,742.21
  5. Step 5: Solve for x
    x = 609,850,742.21/17,469.19
  6. Step 6: Final answer
    x = 34,910.08

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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.