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Finding the Third Proportional to 17,010.50 and 25,533.75

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Solution

The third proportional to 17,010.50 and 25,533.75 is: 38,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,010.50 : 25,533.75 = 25,533.75 : x
  2. Step 2: Convert to fraction form
    17,010.50/25,533.75 = 25,533.75/x
  3. Step 3: Cross multiply
    17,010.50x = 25,533.75 × 25,533.75
  4. Step 4: Simplify right side
    17,010.50x = 651,972,389.06
  5. Step 5: Solve for x
    x = 651,972,389.06/17,010.50
  6. Step 6: Final answer
    x = 38,327.64

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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.