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Finding the Third Proportional to 2,137 and 4,606

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Solution

The third proportional to 2,137 and 4,606 is: 9,927.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137 : 4,606 = 4,606 : x
  2. Step 2: Convert to fraction form
    2,137/4,606 = 4,606/x
  3. Step 3: Cross multiply
    2,137x = 4,606 × 4,606
  4. Step 4: Simplify right side
    2,137x = 21,215,236
  5. Step 5: Solve for x
    x = 21,215,236/2,137
  6. Step 6: Final answer
    x = 9,927.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.