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Finding the Third Proportional to 4,902 and 11,385

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Solution

The third proportional to 4,902 and 11,385 is: 26,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902 : 11,385 = 11,385 : x
  2. Step 2: Convert to fraction form
    4,902/11,385 = 11,385/x
  3. Step 3: Cross multiply
    4,902x = 11,385 × 11,385
  4. Step 4: Simplify right side
    4,902x = 129,618,225
  5. Step 5: Solve for x
    x = 129,618,225/4,902
  6. Step 6: Final answer
    x = 26,441.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.