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Finding the Third Proportional to 12,312 and 27,084

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Solution

The third proportional to 12,312 and 27,084 is: 59,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312 : 27,084 = 27,084 : x
  2. Step 2: Convert to fraction form
    12,312/27,084 = 27,084/x
  3. Step 3: Cross multiply
    12,312x = 27,084 × 27,084
  4. Step 4: Simplify right side
    12,312x = 733,543,056
  5. Step 5: Solve for x
    x = 733,543,056/12,312
  6. Step 6: Final answer
    x = 59,579.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.