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Finding the Third Proportional to 17,976 and 39,529.50

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Solution

The third proportional to 17,976 and 39,529.50 is: 86,925.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,976 : 39,529.50 = 39,529.50 : x
  2. Step 2: Convert to fraction form
    17,976/39,529.50 = 39,529.50/x
  3. Step 3: Cross multiply
    17,976x = 39,529.50 × 39,529.50
  4. Step 4: Simplify right side
    17,976x = 1,562,581,370.25
  5. Step 5: Solve for x
    x = 1,562,581,370.25/17,976
  6. Step 6: Final answer
    x = 86,925.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.