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Finding the Third Proportional to 12,078 and 17,104.50

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Solution

The third proportional to 12,078 and 17,104.50 is: 24,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078 : 17,104.50 = 17,104.50 : x
  2. Step 2: Convert to fraction form
    12,078/17,104.50 = 17,104.50/x
  3. Step 3: Cross multiply
    12,078x = 17,104.50 × 17,104.50
  4. Step 4: Simplify right side
    12,078x = 292,563,920.25
  5. Step 5: Solve for x
    x = 292,563,920.25/12,078
  6. Step 6: Final answer
    x = 24,222.88

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.