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Finding the Third Proportional to 17,566.50 and 26,715

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Solution

The third proportional to 17,566.50 and 26,715 is: 40,627.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,566.50 : 26,715 = 26,715 : x
  2. Step 2: Convert to fraction form
    17,566.50/26,715 = 26,715/x
  3. Step 3: Cross multiply
    17,566.50x = 26,715 × 26,715
  4. Step 4: Simplify right side
    17,566.50x = 713,691,225
  5. Step 5: Solve for x
    x = 713,691,225/17,566.50
  6. Step 6: Final answer
    x = 40,627.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.