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Finding the Third Proportional to 12,536 and 19,358

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Solution

The third proportional to 12,536 and 19,358 is: 29,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536 : 19,358 = 19,358 : x
  2. Step 2: Convert to fraction form
    12,536/19,358 = 19,358/x
  3. Step 3: Cross multiply
    12,536x = 19,358 × 19,358
  4. Step 4: Simplify right side
    12,536x = 374,732,164
  5. Step 5: Solve for x
    x = 374,732,164/12,536
  6. Step 6: Final answer
    x = 29,892.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.