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Finding the Third Proportional to 4,000 and 7,436

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Solution

The third proportional to 4,000 and 7,436 is: 13,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000 : 7,436 = 7,436 : x
  2. Step 2: Convert to fraction form
    4,000/7,436 = 7,436/x
  3. Step 3: Cross multiply
    4,000x = 7,436 × 7,436
  4. Step 4: Simplify right side
    4,000x = 55,294,096
  5. Step 5: Solve for x
    x = 55,294,096/4,000
  6. Step 6: Final answer
    x = 13,823.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.