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Finding the Third Proportional to 9,687.94 and 14,554.69

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Solution

The third proportional to 9,687.94 and 14,554.69 is: 21,866.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.94 : 14,554.69 = 14,554.69 : x
  2. Step 2: Convert to fraction form
    9,687.94/14,554.69 = 14,554.69/x
  3. Step 3: Cross multiply
    9,687.94x = 14,554.69 × 14,554.69
  4. Step 4: Simplify right side
    9,687.94x = 211,838,928.22
  5. Step 5: Solve for x
    x = 211,838,928.22/9,687.94
  6. Step 6: Final answer
    x = 21,866.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.