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Finding the Third Proportional to 15,034.50 and 20,385

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Solution

The third proportional to 15,034.50 and 20,385 is: 27,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,034.50 : 20,385 = 20,385 : x
  2. Step 2: Convert to fraction form
    15,034.50/20,385 = 20,385/x
  3. Step 3: Cross multiply
    15,034.50x = 20,385 × 20,385
  4. Step 4: Simplify right side
    15,034.50x = 415,548,225
  5. Step 5: Solve for x
    x = 415,548,225/15,034.50
  6. Step 6: Final answer
    x = 27,639.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.