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Finding the Third Proportional to 4,656 and 10,122

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Solution

The third proportional to 4,656 and 10,122 is: 22,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656 : 10,122 = 10,122 : x
  2. Step 2: Convert to fraction form
    4,656/10,122 = 10,122/x
  3. Step 3: Cross multiply
    4,656x = 10,122 × 10,122
  4. Step 4: Simplify right side
    4,656x = 102,454,884
  5. Step 5: Solve for x
    x = 102,454,884/4,656
  6. Step 6: Final answer
    x = 22,004.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.