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Finding the Third Proportional to 15,774 and 17,406

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Solution

The third proportional to 15,774 and 17,406 is: 19,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774 : 17,406 = 17,406 : x
  2. Step 2: Convert to fraction form
    15,774/17,406 = 17,406/x
  3. Step 3: Cross multiply
    15,774x = 17,406 × 17,406
  4. Step 4: Simplify right side
    15,774x = 302,968,836
  5. Step 5: Solve for x
    x = 302,968,836/15,774
  6. Step 6: Final answer
    x = 19,206.85

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.