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Finding the Third Proportional to 13,442 and 21,273

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Solution

The third proportional to 13,442 and 21,273 is: 33,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442 : 21,273 = 21,273 : x
  2. Step 2: Convert to fraction form
    13,442/21,273 = 21,273/x
  3. Step 3: Cross multiply
    13,442x = 21,273 × 21,273
  4. Step 4: Simplify right side
    13,442x = 452,540,529
  5. Step 5: Solve for x
    x = 452,540,529/13,442
  6. Step 6: Final answer
    x = 33,666.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.