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Finding the Third Proportional to 12,941 and 27,358

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Solution

The third proportional to 12,941 and 27,358 is: 57,836.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,941 : 27,358 = 27,358 : x
  2. Step 2: Convert to fraction form
    12,941/27,358 = 27,358/x
  3. Step 3: Cross multiply
    12,941x = 27,358 × 27,358
  4. Step 4: Simplify right side
    12,941x = 748,460,164
  5. Step 5: Solve for x
    x = 748,460,164/12,941
  6. Step 6: Final answer
    x = 57,836.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.