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Finding the Third Proportional to 14,611.50 and 17,815.50

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Solution

The third proportional to 14,611.50 and 17,815.50 is: 21,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611.50 : 17,815.50 = 17,815.50 : x
  2. Step 2: Convert to fraction form
    14,611.50/17,815.50 = 17,815.50/x
  3. Step 3: Cross multiply
    14,611.50x = 17,815.50 × 17,815.50
  4. Step 4: Simplify right side
    14,611.50x = 317,392,040.25
  5. Step 5: Solve for x
    x = 317,392,040.25/14,611.50
  6. Step 6: Final answer
    x = 21,722.07

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.