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Finding the Third Proportional to 13,436 and 19,358

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Solution

The third proportional to 13,436 and 19,358 is: 27,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436 : 19,358 = 19,358 : x
  2. Step 2: Convert to fraction form
    13,436/19,358 = 19,358/x
  3. Step 3: Cross multiply
    13,436x = 19,358 × 19,358
  4. Step 4: Simplify right side
    13,436x = 374,732,164
  5. Step 5: Solve for x
    x = 374,732,164/13,436
  6. Step 6: Final answer
    x = 27,890.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.