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Finding the Third Proportional to 12,746 and 19,336

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Solution

The third proportional to 12,746 and 19,336 is: 29,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746 : 19,336 = 19,336 : x
  2. Step 2: Convert to fraction form
    12,746/19,336 = 19,336/x
  3. Step 3: Cross multiply
    12,746x = 19,336 × 19,336
  4. Step 4: Simplify right side
    12,746x = 373,880,896
  5. Step 5: Solve for x
    x = 373,880,896/12,746
  6. Step 6: Final answer
    x = 29,333.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.