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Finding the Third Proportional to 12,541.50 and 16,734.94

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Solution

The third proportional to 12,541.50 and 16,734.94 is: 22,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,541.50 : 16,734.94 = 16,734.94 : x
  2. Step 2: Convert to fraction form
    12,541.50/16,734.94 = 16,734.94/x
  3. Step 3: Cross multiply
    12,541.50x = 16,734.94 × 16,734.94
  4. Step 4: Simplify right side
    12,541.50x = 280,058,133.13
  5. Step 5: Solve for x
    x = 280,058,133.13/12,541.50
  6. Step 6: Final answer
    x = 22,330.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.