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Finding the Third Proportional to 11,807 and 25,435

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Solution

The third proportional to 11,807 and 25,435 is: 54,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807 : 25,435 = 25,435 : x
  2. Step 2: Convert to fraction form
    11,807/25,435 = 25,435/x
  3. Step 3: Cross multiply
    11,807x = 25,435 × 25,435
  4. Step 4: Simplify right side
    11,807x = 646,939,225
  5. Step 5: Solve for x
    x = 646,939,225/11,807
  6. Step 6: Final answer
    x = 54,792.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.