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Finding the Third Proportional to 11,984.34 and 17,606.81

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Solution

The third proportional to 11,984.34 and 17,606.81 is: 25,867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.34 : 17,606.81 = 17,606.81 : x
  2. Step 2: Convert to fraction form
    11,984.34/17,606.81 = 17,606.81/x
  3. Step 3: Cross multiply
    11,984.34x = 17,606.81 × 17,606.81
  4. Step 4: Simplify right side
    11,984.34x = 309,999,846.41
  5. Step 5: Solve for x
    x = 309,999,846.41/11,984.34
  6. Step 6: Final answer
    x = 25,867.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.