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Finding the Third Proportional to 17,077.50 and 26,586.56

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Solution

The third proportional to 17,077.50 and 26,586.56 is: 41,390.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.50 : 26,586.56 = 26,586.56 : x
  2. Step 2: Convert to fraction form
    17,077.50/26,586.56 = 26,586.56/x
  3. Step 3: Cross multiply
    17,077.50x = 26,586.56 × 26,586.56
  4. Step 4: Simplify right side
    17,077.50x = 706,845,305.57
  5. Step 5: Solve for x
    x = 706,845,305.57/17,077.50
  6. Step 6: Final answer
    x = 41,390.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.