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Finding the Third Proportional to 5,838 and 12,246

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Solution

The third proportional to 5,838 and 12,246 is: 25,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838 : 12,246 = 12,246 : x
  2. Step 2: Convert to fraction form
    5,838/12,246 = 12,246/x
  3. Step 3: Cross multiply
    5,838x = 12,246 × 12,246
  4. Step 4: Simplify right side
    5,838x = 149,964,516
  5. Step 5: Solve for x
    x = 149,964,516/5,838
  6. Step 6: Final answer
    x = 25,687.65

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.