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Finding the Third Proportional to 17,234.63 and 24,388.50

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Solution

The third proportional to 17,234.63 and 24,388.50 is: 34,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234.63 : 24,388.50 = 24,388.50 : x
  2. Step 2: Convert to fraction form
    17,234.63/24,388.50 = 24,388.50/x
  3. Step 3: Cross multiply
    17,234.63x = 24,388.50 × 24,388.50
  4. Step 4: Simplify right side
    17,234.63x = 594,798,932.25
  5. Step 5: Solve for x
    x = 594,798,932.25/17,234.63
  6. Step 6: Final answer
    x = 34,511.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.