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Finding the Third Proportional to 4,705 and 7,165

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Solution

The third proportional to 4,705 and 7,165 is: 10,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705 : 7,165 = 7,165 : x
  2. Step 2: Convert to fraction form
    4,705/7,165 = 7,165/x
  3. Step 3: Cross multiply
    4,705x = 7,165 × 7,165
  4. Step 4: Simplify right side
    4,705x = 51,337,225
  5. Step 5: Solve for x
    x = 51,337,225/4,705
  6. Step 6: Final answer
    x = 10,911.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.