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Finding the Third Proportional to 9,619.75 and 14,766.25

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Solution

The third proportional to 9,619.75 and 14,766.25 is: 22,666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.75 : 14,766.25 = 14,766.25 : x
  2. Step 2: Convert to fraction form
    9,619.75/14,766.25 = 14,766.25/x
  3. Step 3: Cross multiply
    9,619.75x = 14,766.25 × 14,766.25
  4. Step 4: Simplify right side
    9,619.75x = 218,042,139.06
  5. Step 5: Solve for x
    x = 218,042,139.06/9,619.75
  6. Step 6: Final answer
    x = 22,666.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.