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Finding the Third Proportional to 17,541.75 and 26,237.25

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Solution

The third proportional to 17,541.75 and 26,237.25 is: 39,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,541.75 : 26,237.25 = 26,237.25 : x
  2. Step 2: Convert to fraction form
    17,541.75/26,237.25 = 26,237.25/x
  3. Step 3: Cross multiply
    17,541.75x = 26,237.25 × 26,237.25
  4. Step 4: Simplify right side
    17,541.75x = 688,393,287.56
  5. Step 5: Solve for x
    x = 688,393,287.56/17,541.75
  6. Step 6: Final answer
    x = 39,243.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.