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Finding the Third Proportional to 14,688 and 20,976.75

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Solution

The third proportional to 14,688 and 20,976.75 is: 29,958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,688 : 20,976.75 = 20,976.75 : x
  2. Step 2: Convert to fraction form
    14,688/20,976.75 = 20,976.75/x
  3. Step 3: Cross multiply
    14,688x = 20,976.75 × 20,976.75
  4. Step 4: Simplify right side
    14,688x = 440,024,040.56
  5. Step 5: Solve for x
    x = 440,024,040.56/14,688
  6. Step 6: Final answer
    x = 29,958.06

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.