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Finding the Third Proportional to 4,662 and 10,360

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Solution

The third proportional to 4,662 and 10,360 is: 23,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662 : 10,360 = 10,360 : x
  2. Step 2: Convert to fraction form
    4,662/10,360 = 10,360/x
  3. Step 3: Cross multiply
    4,662x = 10,360 × 10,360
  4. Step 4: Simplify right side
    4,662x = 107,329,600
  5. Step 5: Solve for x
    x = 107,329,600/4,662
  6. Step 6: Final answer
    x = 23,022.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.