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Finding the Third Proportional to 15,774 and 32,367

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Solution

The third proportional to 15,774 and 32,367 is: 66,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774 : 32,367 = 32,367 : x
  2. Step 2: Convert to fraction form
    15,774/32,367 = 32,367/x
  3. Step 3: Cross multiply
    15,774x = 32,367 × 32,367
  4. Step 4: Simplify right side
    15,774x = 1,047,622,689
  5. Step 5: Solve for x
    x = 1,047,622,689/15,774
  6. Step 6: Final answer
    x = 66,414.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.