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Finding the Third Proportional to 2,116 and 4,596

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Solution

The third proportional to 2,116 and 4,596 is: 9,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116 : 4,596 = 4,596 : x
  2. Step 2: Convert to fraction form
    2,116/4,596 = 4,596/x
  3. Step 3: Cross multiply
    2,116x = 4,596 × 4,596
  4. Step 4: Simplify right side
    2,116x = 21,123,216
  5. Step 5: Solve for x
    x = 21,123,216/2,116
  6. Step 6: Final answer
    x = 9,982.62

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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.