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Finding the Third Proportional to 7,974.50 and 16,347

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Solution

The third proportional to 7,974.50 and 16,347 is: 33,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.50 : 16,347 = 16,347 : x
  2. Step 2: Convert to fraction form
    7,974.50/16,347 = 16,347/x
  3. Step 3: Cross multiply
    7,974.50x = 16,347 × 16,347
  4. Step 4: Simplify right side
    7,974.50x = 267,224,409
  5. Step 5: Solve for x
    x = 267,224,409/7,974.50
  6. Step 6: Final answer
    x = 33,509.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.