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Finding the Third Proportional to 15,826 and 23,774

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Solution

The third proportional to 15,826 and 23,774 is: 35,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,826 : 23,774 = 23,774 : x
  2. Step 2: Convert to fraction form
    15,826/23,774 = 23,774/x
  3. Step 3: Cross multiply
    15,826x = 23,774 × 23,774
  4. Step 4: Simplify right side
    15,826x = 565,203,076
  5. Step 5: Solve for x
    x = 565,203,076/15,826
  6. Step 6: Final answer
    x = 35,713.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.