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Finding the Third Proportional to 12,084 and 19,358

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Solution

The third proportional to 12,084 and 19,358 is: 31,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084 : 19,358 = 19,358 : x
  2. Step 2: Convert to fraction form
    12,084/19,358 = 19,358/x
  3. Step 3: Cross multiply
    12,084x = 19,358 × 19,358
  4. Step 4: Simplify right side
    12,084x = 374,732,164
  5. Step 5: Solve for x
    x = 374,732,164/12,084
  6. Step 6: Final answer
    x = 31,010.61

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.