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Finding the Third Proportional to 15,746 and 34,406

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Solution

The third proportional to 15,746 and 34,406 is: 75,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746 : 34,406 = 34,406 : x
  2. Step 2: Convert to fraction form
    15,746/34,406 = 34,406/x
  3. Step 3: Cross multiply
    15,746x = 34,406 × 34,406
  4. Step 4: Simplify right side
    15,746x = 1,183,772,836
  5. Step 5: Solve for x
    x = 1,183,772,836/15,746
  6. Step 6: Final answer
    x = 75,179.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.