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Finding the Third Proportional to 14,182.50 and 20,300.25

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Solution

The third proportional to 14,182.50 and 20,300.25 is: 29,056.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.50 : 20,300.25 = 20,300.25 : x
  2. Step 2: Convert to fraction form
    14,182.50/20,300.25 = 20,300.25/x
  3. Step 3: Cross multiply
    14,182.50x = 20,300.25 × 20,300.25
  4. Step 4: Simplify right side
    14,182.50x = 412,100,150.06
  5. Step 5: Solve for x
    x = 412,100,150.06/14,182.50
  6. Step 6: Final answer
    x = 29,056.95

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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.