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Finding the Third Proportional to 4,629 and 10,178

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Solution

The third proportional to 4,629 and 10,178 is: 22,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629 : 10,178 = 10,178 : x
  2. Step 2: Convert to fraction form
    4,629/10,178 = 10,178/x
  3. Step 3: Cross multiply
    4,629x = 10,178 × 10,178
  4. Step 4: Simplify right side
    4,629x = 103,591,684
  5. Step 5: Solve for x
    x = 103,591,684/4,629
  6. Step 6: Final answer
    x = 22,378.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.