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Finding the Third Proportional to 7,543 and 16,049

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Solution

The third proportional to 7,543 and 16,049 is: 34,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543 : 16,049 = 16,049 : x
  2. Step 2: Convert to fraction form
    7,543/16,049 = 16,049/x
  3. Step 3: Cross multiply
    7,543x = 16,049 × 16,049
  4. Step 4: Simplify right side
    7,543x = 257,570,401
  5. Step 5: Solve for x
    x = 257,570,401/7,543
  6. Step 6: Final answer
    x = 34,146.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.