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Finding the Third Proportional to 17,093 and 24,967.50

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Solution

The third proportional to 17,093 and 24,967.50 is: 36,469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,093 : 24,967.50 = 24,967.50 : x
  2. Step 2: Convert to fraction form
    17,093/24,967.50 = 24,967.50/x
  3. Step 3: Cross multiply
    17,093x = 24,967.50 × 24,967.50
  4. Step 4: Simplify right side
    17,093x = 623,376,056.25
  5. Step 5: Solve for x
    x = 623,376,056.25/17,093
  6. Step 6: Final answer
    x = 36,469.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.