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Finding the Third Proportional to 7,427 and 8,435

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Solution

The third proportional to 7,427 and 8,435 is: 9,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427 : 8,435 = 8,435 : x
  2. Step 2: Convert to fraction form
    7,427/8,435 = 8,435/x
  3. Step 3: Cross multiply
    7,427x = 8,435 × 8,435
  4. Step 4: Simplify right side
    7,427x = 71,149,225
  5. Step 5: Solve for x
    x = 71,149,225/7,427
  6. Step 6: Final answer
    x = 9,579.81

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.