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Finding the Third Proportional to 4,637 and 10,121

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Solution

The third proportional to 4,637 and 10,121 is: 22,090.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637 : 10,121 = 10,121 : x
  2. Step 2: Convert to fraction form
    4,637/10,121 = 10,121/x
  3. Step 3: Cross multiply
    4,637x = 10,121 × 10,121
  4. Step 4: Simplify right side
    4,637x = 102,434,641
  5. Step 5: Solve for x
    x = 102,434,641/4,637
  6. Step 6: Final answer
    x = 22,090.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.