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Finding the Third Proportional to 17,524.50 and 37,507.50

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Solution

The third proportional to 17,524.50 and 37,507.50 is: 80,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.50 : 37,507.50 = 37,507.50 : x
  2. Step 2: Convert to fraction form
    17,524.50/37,507.50 = 37,507.50/x
  3. Step 3: Cross multiply
    17,524.50x = 37,507.50 × 37,507.50
  4. Step 4: Simplify right side
    17,524.50x = 1,406,812,556.25
  5. Step 5: Solve for x
    x = 1,406,812,556.25/17,524.50
  6. Step 6: Final answer
    x = 80,276.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.