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Finding the Third Proportional to 6,289 and 9,435

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Solution

The third proportional to 6,289 and 9,435 is: 14,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289 : 9,435 = 9,435 : x
  2. Step 2: Convert to fraction form
    6,289/9,435 = 9,435/x
  3. Step 3: Cross multiply
    6,289x = 9,435 × 9,435
  4. Step 4: Simplify right side
    6,289x = 89,019,225
  5. Step 5: Solve for x
    x = 89,019,225/6,289
  6. Step 6: Final answer
    x = 14,154.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.