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Finding the Third Proportional to 13,137 and 19,273

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Solution

The third proportional to 13,137 and 19,273 is: 28,274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137 : 19,273 = 19,273 : x
  2. Step 2: Convert to fraction form
    13,137/19,273 = 19,273/x
  3. Step 3: Cross multiply
    13,137x = 19,273 × 19,273
  4. Step 4: Simplify right side
    13,137x = 371,448,529
  5. Step 5: Solve for x
    x = 371,448,529/13,137
  6. Step 6: Final answer
    x = 28,274.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.