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Finding the Third Proportional to 17,539.50 and 37,050

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Solution

The third proportional to 17,539.50 and 37,050 is: 78,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,539.50 : 37,050 = 37,050 : x
  2. Step 2: Convert to fraction form
    17,539.50/37,050 = 37,050/x
  3. Step 3: Cross multiply
    17,539.50x = 37,050 × 37,050
  4. Step 4: Simplify right side
    17,539.50x = 1,372,702,500
  5. Step 5: Solve for x
    x = 1,372,702,500/17,539.50
  6. Step 6: Final answer
    x = 78,263.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.