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Finding the Third Proportional to 4,632 and 10,165

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Solution

The third proportional to 4,632 and 10,165 is: 22,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632 : 10,165 = 10,165 : x
  2. Step 2: Convert to fraction form
    4,632/10,165 = 10,165/x
  3. Step 3: Cross multiply
    4,632x = 10,165 × 10,165
  4. Step 4: Simplify right side
    4,632x = 103,327,225
  5. Step 5: Solve for x
    x = 103,327,225/4,632
  6. Step 6: Final answer
    x = 22,307.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.