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Finding the Third Proportional to 12,270.66 and 19,461.94

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Solution

The third proportional to 12,270.66 and 19,461.94 is: 30,867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.66 : 19,461.94 = 19,461.94 : x
  2. Step 2: Convert to fraction form
    12,270.66/19,461.94 = 19,461.94/x
  3. Step 3: Cross multiply
    12,270.66x = 19,461.94 × 19,461.94
  4. Step 4: Simplify right side
    12,270.66x = 378,767,011.25
  5. Step 5: Solve for x
    x = 378,767,011.25/12,270.66
  6. Step 6: Final answer
    x = 30,867.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.