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Finding the Third Proportional to 19,713 and 29,774

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Solution

The third proportional to 19,713 and 29,774 is: 44,969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713 : 29,774 = 29,774 : x
  2. Step 2: Convert to fraction form
    19,713/29,774 = 29,774/x
  3. Step 3: Cross multiply
    19,713x = 29,774 × 29,774
  4. Step 4: Simplify right side
    19,713x = 886,491,076
  5. Step 5: Solve for x
    x = 886,491,076/19,713
  6. Step 6: Final answer
    x = 44,969.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.