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Finding the Third Proportional to 12,078 and 15,912

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Solution

The third proportional to 12,078 and 15,912 is: 20,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078 : 15,912 = 15,912 : x
  2. Step 2: Convert to fraction form
    12,078/15,912 = 15,912/x
  3. Step 3: Cross multiply
    12,078x = 15,912 × 15,912
  4. Step 4: Simplify right side
    12,078x = 253,191,744
  5. Step 5: Solve for x
    x = 253,191,744/12,078
  6. Step 6: Final answer
    x = 20,963.05

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.