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Finding the Third Proportional to 15,273.56 and 16,367.06

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Solution

The third proportional to 15,273.56 and 16,367.06 is: 17,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,273.56 : 16,367.06 = 16,367.06 : x
  2. Step 2: Convert to fraction form
    15,273.56/16,367.06 = 16,367.06/x
  3. Step 3: Cross multiply
    15,273.56x = 16,367.06 × 16,367.06
  4. Step 4: Simplify right side
    15,273.56x = 267,880,734.88
  5. Step 5: Solve for x
    x = 267,880,734.88/15,273.56
  6. Step 6: Final answer
    x = 17,538.85

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.