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Finding the Third Proportional to 7,100 and 16,364

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Solution

The third proportional to 7,100 and 16,364 is: 37,715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100 : 16,364 = 16,364 : x
  2. Step 2: Convert to fraction form
    7,100/16,364 = 16,364/x
  3. Step 3: Cross multiply
    7,100x = 16,364 × 16,364
  4. Step 4: Simplify right side
    7,100x = 267,780,496
  5. Step 5: Solve for x
    x = 267,780,496/7,100
  6. Step 6: Final answer
    x = 37,715.56

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.