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Finding the Third Proportional to 17,976 and 28,140

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Solution

The third proportional to 17,976 and 28,140 is: 44,050.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,976 : 28,140 = 28,140 : x
  2. Step 2: Convert to fraction form
    17,976/28,140 = 28,140/x
  3. Step 3: Cross multiply
    17,976x = 28,140 × 28,140
  4. Step 4: Simplify right side
    17,976x = 791,859,600
  5. Step 5: Solve for x
    x = 791,859,600/17,976
  6. Step 6: Final answer
    x = 44,050.93

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.