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Finding the Third Proportional to 14,862.75 and 20,380.50

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Solution

The third proportional to 14,862.75 and 20,380.50 is: 27,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,862.75 : 20,380.50 = 20,380.50 : x
  2. Step 2: Convert to fraction form
    14,862.75/20,380.50 = 20,380.50/x
  3. Step 3: Cross multiply
    14,862.75x = 20,380.50 × 20,380.50
  4. Step 4: Simplify right side
    14,862.75x = 415,364,780.25
  5. Step 5: Solve for x
    x = 415,364,780.25/14,862.75
  6. Step 6: Final answer
    x = 27,946.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.